[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-553702-105":59,"doc-detail-553702-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","greatest-common-factor-gcf-and-least-common-multiple-lcm-word-problems-grade-5-math-word-problems-worksheet","Greatest Common Factor (GCF) and Least Common Multiple (LCM) Word Problems - Grade 5 Math Word Problems Worksheet","","Grade 5 GCF and LCM worksheet with five real-world word problems that require finding common factors, greatest common divisors, and least common multiples. Students solve scheduling and repeating events, packaging CDs with equal quantities, distributing plants into uniform rows, balancing cups and plates in equal counts, and determining when full moons next align with a weekday. Includes an answer section showing factor and multiple lists and final solutions for each item.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/greatest-common-factor-gcf-and-least-common-multiple-lcm-word-problems-grade-5-math-word-problems-worksheet/553702/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/greatest-common-factor-gcf-and-least-common-multiple-lcm-word-problems-grade-5-math-word-problems-worksheet/553702.png","ImageObject",300,407,{"name":92,"@type":93},"4398046744996","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-07","2026-10-12",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you find when three activities happen again on the same day?","Question",{"text":112,"@type":113},"Identify the cycles for each activity (as numbers of days), then find the least common multiple of the cycle lengths to get when they align again.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does “greatest number of CDs in each box” mean in the packing problem?",{"text":117,"@type":113},"It means finding the greatest common factor of the CD counts per type, so each box can contain an equal number with no leftover CDs.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you solve the full moon problem with a specific weekday?",{"text":121,"@type":113},"Determine the weekday shift by using the common multiple approach: compute the least common multiple of the lunar cycle and the 7-day week, then use it to find how many days pass to match the weekday again.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},553702,1792889582,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":66,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":133,"file_id":134,"file_url":135,"file_type":136,"file_size":137,"view_count":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":138,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":139,"faqs":140,"seo_title":141,"seo_description":67,"update_tm":142,"read_time":39,"preview_page_count":4},4398046744996,"Greatest Common Factor (GCF) and Least Common Multiple (LCM) word problems  \nGrade 5 Math Word Problems Worksheet  \n1. At the gym, Hillary swims every 6 days, runs every 4 days, and cycles every 16 days. If she did all three activities today, in how many days will she do all three activities again on the same day?  \n2. Oscar needs to ship 14 rock CDs, 12 classical CDs, and 8 pop CDs. He can pack only one type of CD in each box, and he must pack the same number of CDs in each box. What is the greatest number of CDs Oscar can pack in each box?  \n3. I want to plant 45 sunflower plants, 81 corn plants and  \n63 tomato plants in my garden. If I put the same number of plants in each row and each row has only one type of plant, what is the greatest number of plants I can put in one row?  \n4. Cups are sold 6 to a package and plates are sold 8 to a package. If you want to have the same number of each item for a party, what is the least number of packages of each you need to buy?  \n5. A full moon occurs every 30 days. If the last full moon occurred on a Friday, how many days will pass before a full moon occurs again on a Friday?  \nReading and Math for K-5 © [www.k5learning.com](www.k5learning.com)  \nAnswers  \n1. Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48 , 52.  \n6: 6, 12, 18, 24, 30, 36, 42, 48 , 54.  \n16: 16, 32, 48  \nIn 48 days , she will do all three on the same day.  \n2. Factors of 14: 1, 2 , 7, 14  \n12: 1, 2 , 3, 4, 6, 12  \n8: 1, 2 , 4, 8  \nHe can pack 2 CDs in each box.  \n3. Factors of 45: 1, 3, 5, 9 , 15, 45  \n81: 1, 3, 9 , 27, 81  \n63: 1, 3, 7, 9 , 21, 63 I can put 9 in each row.  \n4. Multiples of 6: 6, 12, 18, 24 , 30, 36, 42, 48, 54.  \n8: 8, 16, 24 , 32, 40, 48, 56, 64, 72  \nHe needs to buy at least 24 of each, so 4 packages cups and 3 packages of plates.  \nHe needs to buy 4 packages of cups and 3 packages of plates.  \n5. To find a common multiple, we can multiply 30 days by 7 days in a Week (to end up on Friday again) . 30 x 7 = 210  \nIt will take 210 days.  \nReading and Math for K-5 © [www.k5learning.com](www.k5learning.com)","cbCaitFxQ7uc33yr","https://ap.wps.com/l/cbCaitFxQ7uc33yr","pdf",66861,"English","# Greatest Common Factor (GCF) and Least Common Multiple (LCM) Word Problems\n## Grade 5 Word Problems\n## Answers","[{\"question\":\"How do you find when three activities happen again on the same day?\",\"answer\":\"Identify the cycles for each activity (as numbers of days), then find the least common multiple of the cycle lengths to get when they align again.\"},{\"question\":\"What does “greatest number of CDs in each box” mean in the packing problem?\",\"answer\":\"It means finding the greatest common factor of the CD counts per type, so each box can contain an equal number with no leftover CDs.\"},{\"question\":\"How do you solve the full moon problem with a specific weekday?\",\"answer\":\"Determine the weekday shift by using the common multiple approach: compute the least common multiple of the lunar cycle and the 7-day week, then use it to find how many days pass to match the weekday again.\"}]","Greatest Common Factor (GCF) and Least Common Multiple (LCM) Word Problems - Grade 5 Math Word Problems Worksheet | PDF",1791791573]