Question

Soldier General Dut
3. What is the LCM of 64, 96, 112 and 72 ?​

Answer 1

Answer:

4032

Explanation:

The least common multiple is the product of all factors in the greatest number of their occurrence. The least common multiple of 64, 96, 112 and 72 is 4032.

Answer 2

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$\underline\mathtt\green{Steps :-}$

• The prime factors of 64 are 2, 2, 2, 2, 2 and 2.
• The prime factors of 96 are 2, 2, 2, 2, 2 and 3.
• The prime factors of 72 are 2, 2, 2, 3 and 3.
• Determine the maximum number of times each prime factor (2, 3, 7) occurs in the factorization of the given numbers.
• The prime factor 7 occurs one time, while 2 and 3 occur more than once.
• The least common multiple is the product of all factors in the greatest number of their occurrence.

$LCM = {2}^{6} \: . \: {3}^{2} \: . \: 7$

• The least common multiple of 64, 96, 112 and 72 is 4032.

$\underline\mathtt\green{More \: info : }$

• The least common multiple (LCM) can be used to add or subtract unlike fractions, or fractions with different denominators, by helping to find the lowest common denominator. LCM is also a tool for solving word problems in which the lowest common number or amount must be found among different quantities of things.