Least Common Multiple Here’s the dilemma: Hot dog buns come in packs of 6 and hot dogs come in packs of 8. If we want there to be no leftover buns or.

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Presentation transcript:

Least Common Multiple Here’s the dilemma: Hot dog buns come in packs of 6 and hot dogs come in packs of 8. If we want there to be no leftover buns or dogs, how many bags will we have to buy of each? What is Least Common Multiple? Least common multiple, or LCM, is the ______________ multiple that 2 or more numbers have in common. How do we find it?

METHOD 1: List the multiples of one of the numbers METHOD 1: List the multiples of one of the numbers. Then, begin listing the multiples of the other number until you find one that they have in common. Try it! Find the LCM of 6 and 8: Multiples of 6: Multiples of 8: The LCM of 6 and 8 is ______________.

METHOD 2: 1. Find the GCF of the numbers 2 METHOD 2: 1. Find the GCF of the numbers 2. Multiply the two numbers together 3. Divide the product by the GCF. Try it! Use this method to find the LCM of 4 and 8: Step 1: Find the GCF of 4 and 8 Step 2: Multiply 4 x 8

The LCM of 4 and 8 is _____________ Step 3: Divide your product from Step 2 by your GCF in Step 1.

20 and 8- Using Ladder

12 and 42-Using Method 1

30 and 65- Using Method 2

12 and 21- Using Ladder

45 and 60- Any Method

Least Common Multiples Least Common Multiple | Factors and multiples | Khan Academy A common multiple is a number that is a multiple of two or more numbers. The common multiples of 3 and 4 are 0, 12, 24, .... The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both.

Least Common Multiples Enspire LCM matchgeneric Finding LCM matchgeneric Finding LCM Matching When will the least common multiple of two numbers be one of the numbers? Suppose the only factor two numbers have in common is 1. How can you find their least common multiple?

Practice Least Common Multiples Find the LCM of each. *Hint Use Prime Factorization 1) 10, 3 2) 14, 6

3) 15, 6 4) 15, 20

6) 4, 30 7) 24, 32 8) 20, 30