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LCM Least Common Multiple. A Multiple of a number is the product of that number and a nonzero whole number. 2 x 1 = 2 2 x 2 = 4 2 x 3 = 6 2, 4, 6 are multiples of 2. There are two methods for finding LCM. Make a list Use the ladder. METHOD 1.
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LCM Least Common Multiple
A Multiple of a number is the product of that number and a nonzero whole number.2 x 1 = 22 x 2 = 42 x 3 = 62, 4, 6 are multiples of 2.
There are two methods for finding LCM. • Make a list • Use the ladder
METHOD 1 Make a list of the first few multiples of each number. The smallest number on both (all) lists is the LCM. 12 – 12, 24, 36, 48, 60 24 – 24, 48, 72, 96, 120
Method 2 THE LADDER
Method 2 continued 1st Draw an “L” and write the numbers 2nd Divide by a prime 3rd Write your answer below 12 24 2 2 6 12 3 3 6 1 2
Method 2 continued To find the LCM of 12 and 24 – Multiply all the numbers on the outside of the “L” LCM of 12 and 24 is 3 x 1 x 23 = 24 12 24 2 2 6 12 3 3 6 1 2