Question

find the LCM of the given number using the short division method 84, 96, 140​

Answer 1

Answer:

2016

Explanation:

Step 1 - Do Prime factorization.

Step 2 -Write all numbers as the product of its prime factors

Prime factors of 84 = 22 . 3 .7

Prime factors of 96 = 25 . 3

Prime factors of 144 = 24 . 32

Step 3 Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 2 , 3

Common prime factors with the greatest exponent: 25, 32

Uncommon prime factors: 7

Uncommon prime factors with the greatest exponent: 71

Step 4 Calculate the Least Common Multiple or LCM

Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.

LCM = 25. 32. 71 = 2016

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