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Lowest Common Multiple

1 The least common multiple (LCM) is the lowest number that is a multiple of 2 or more numbers.

2 e.g find the LCM of 12 and 20:

2.1 12

2.1.1 2

2.1.1.1

2.1.2 6

2.1.2.1 3

2.1.2.1.1

2.1.2.2 3

2.1.2.2.1 THESE ARE THE PRIME NUMBERS.

2.2 20

2.2.1 2

2.2.1.1

2.2.2 10

2.2.2.1 2

2.2.2.1.1

2.2.2.2 5

2.2.2.2.1 THESE ARE THE PRIME NUMBERS.

2.3 Write the numbers as a product of their prime factors.

2.3.1 12=2x2x3

2.3.1.1 Start to cross them off in a venn diagram and you will end up with:

2.3.1.1.1 The LCM of 12 and 20 is: 2x2x3x5=60

2.3.2 20=2x2x5

2.3.2.1