[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-551046-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-551046-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","mixed-gcf-and-lcm-problems-grade-6-factoring-worksheet","Mixed GCF and LCM Problems - Grade 6 Factoring Worksheet","","This educational worksheet provides a set of twelve targeted math problems designed for sixth-grade students to practice finding the greatest common factor (GCF) and least common multiple (LCM) of various sets of numbers. The document includes both the problem sets and a comprehensive answer key, serving as a valuable resource for classroom practice or independent study. By working through these exercises, students can strengthen their proficiency in prime factorization and numerical analysis techniques, ensuring they develop a solid foundation in essential number theory concepts required at the middle school level. The materials are structured to facilitate self-assessment and verification, making them ideal for reinforcing mathematical curriculum standards in a clear and accessible format.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/mixed-gcf-and-lcm-problems-grade-6-factoring-worksheet/551046/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/mixed-gcf-and-lcm-problems-grade-6-factoring-worksheet/551046.png","ImageObject",300,407,{"name":42,"@type":43},"Chumphorn","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-07","2026-10-12",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What is the objective of this grade 6 worksheet?","Question",{"text":62,"@type":63},"The objective is to practice finding the greatest common factor (GCF) and the least common multiple (LCM) for given sets of numbers.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How many problems are included in the worksheet?",{"text":67,"@type":63},"There are 12 problems in total, including sets of two numbers and sets of three numbers.",{"name":69,"@type":60,"acceptedAnswer":70},"Does the document provide the solutions?",{"text":71,"@type":63},"Yes, the document includes an answer key at the bottom that provides the GCF and LCM for all 12 problems.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},551046,1791786792,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":33,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":79,"read_time":95,"preview_page_count":4},2336475401981,"https://ap-avatar.wpscdn.com/avatar/22000c94efd8d5204d?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786935347598174694","Mixed GCF & LCM problems  \nGrade 6 Factoring Worksheet  \nFind the greatest the common factor (GCF) and least common multiple (LCM) of each set of numbers.  \n\n| Numbers | GCF | LCM |\n| --- | --- | --- |\n| 1) 54 and 162 |  |  |\n| 2) 66 and 198 |  |  |\n| 3) 90 and 225 |  |  |\n| 4) 112 and 280 |  |  |\n| 5) 126 and 315 |  |  |\n| 6) 132 and 352 |  |  |\n| 7) 156 and 364 |  |  |\n| 8) 175 and 450 |  |  |\n| 9) 216 and 540 |  |  |\n| 10) 224 and 336 |  |  |\n| 11) 72, 108 and 180 |  |  |\n| 12) 96, 144 and 240 |  |  |\n\nAnswers  \n\n| Numbers | GCF | LCM |\n| --- | --- | --- |\n| 1) 54 and 162 | 54 | 162 |\n| 2) 66 and 198 | 66 | 198 |\n| 3) 90 and 225 | 45 | 450 |\n| 4) 112 and 280 | 56 | 560 |\n| 5) 126 and 315 | 63 | 630 |\n| 6) 132 and 352 | 44 | 1,056 |\n| 7) 156 and 364 | 52 | 1,092 |\n| 8) 175 and 450 | 25 | 3,150 |\n| 9) 216 and 540 | 108 | 1,080 |\n| 10) 224 and 336 | 112 | 672 |\n| 11) 72, 108 and 180 | 36 | 1,080 |\n| 12) 96, 144 and 240 | 48 | 1,440 |","cbCaim2MA9djqeUc","https://ap.wps.com/l/cbCaim2MA9djqeUc","pdf",80375,"English","# Mixed GCF and LCM Problems\n## Answer Key","[{\"question\":\"What is the objective of this grade 6 worksheet?\",\"answer\":\"The objective is to practice finding the greatest common factor (GCF) and the least common multiple (LCM) for given sets of numbers.\"},{\"question\":\"How many problems are included in the worksheet?\",\"answer\":\"There are 12 problems in total, including sets of two numbers and sets of three numbers.\"},{\"question\":\"Does the document provide the solutions?\",\"answer\":\"Yes, the document includes an answer key at the bottom that provides the GCF and LCM for all 12 problems.\"}]","Mixed GCF and LCM Problems - Grade 6 Factoring Worksheet | PDF"]