# What is the LCM of 36, 8, 72, 12?

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Hint: The given numbers are all even numbers. In order to find the LCM we will first find the factors of the given numbers. Then first we will take common factors and then the uncommon one. The product of these factors will be the LCM of the numbers above. This method will be the prime factors method.

$8 = 2 \times 2 \times 2$
$12 = 2 \times 2 \times 3$
$36 = 2 \times 2 \times 3 \times 3$
$72 = 2 \times 2 \times 2 \times 3 \times 3$
Thus the product will be $2 \times 2 \times 2 \times 3 \times 3 = 72$