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Number and Operations in Base Ten Number and Operations – Fractions X_STANDARDS_NA, X_STANDARDS_NA Preparation for 5.NF.2 Name Lesson 5 Least Common Multiple eHelp Homework Helper Need help? connectED.mcgraw-hill.com Ben’s Burgers gives away a free order of fries every 2 days, a free milkshake every 3 days, and a free hamburger every 4 days. If they gave away all three items today, in how many days will they give away all three items again? Find and circle the LCM of 2, 3 and 4 by listing nonzero multiples of each number. 2: 2, 4, 6, 8, 10, 12 . . . 3: 3, 6, 9, 12, 15 . . . 4: 4, 8, 12, 16, 20 . . . The least common multiple of 2, 3, and 4 is 12. So, Ben’s Burgers will give away all three items again in 12 days. Check The number line shows on which days all three activities will be completed. H M F Copyright © The McGraw-Hill Companies, Inc. Day 0 H F M F 1 2 3 4 M F 5 6 H F M 7 8 F H M F H = hamburger F M M = milkshake F = fries 9 10 11 12 13 14 15 Practice Find the LCM of each set of numbers. 1. 7, 14 2. 6, 15 3. 5, 9, 15 Lesson 5 My Homework581 Problem Solving 4. The cycles for two different events are shown in the table. Each of these events happened in the year 2000. What is the next year in which both will happen? 3 5. Event Cycle (yr) Summer Olympics United States Census 4 10 Draw a Conclusion Is the statement below always, sometimes, or never true? Give at least two examples to support your reasoning. The LCM of two numbers is the product of the two numbers. Vocab Vocabulary Check Fill in each blank with the correct word(s) to complete each sentence. 6. Multiples that are shared by two or more numbers are . 7. The least common multiple (LCM) is the common to sets of multiples. multiple, other than 0, 8. Micah is buying items for a birthday party. If he wants to have the same amount of each item, what is the least number of packages of cups he needs to buy? A 2 packages C 4 packages B 3 packages D 5 packages 582Need more practice? Download Extra Practice at Party Supplies Number in Item Each Package Cups Plates 6 8 connectED.mcgraw-hill.com Copyright © The McGraw-Hill Companies, Inc. Test Practice