Least Common Multiple of 88, 64, 492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 88, 64, 492 i.e. 86592 smallest integer divisible by all numbers.

Least common multiple (LCM) of 88, 64, 492 is 86592.

LCM(88, 64, 492) = 86592

LCM of 88, 64, 492

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 88,64,492

Least Common Multiple (LCM) of 88,64,492 is 86592

2 88, 64, 492
2 44, 32, 246
2 22, 16, 123
11, 8, 123

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 8 x 123 = 86592

Least Common Multiple of 88,64,492 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 88,64,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,64,492) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(88,64,492) x common factors =4 x 8 = 32

LCM(88,64,492) = ( 88 × 64 × 492 ) / 32

LCM(88,64,492) = 2770944 / 32

LCM(88,64,492) = 86592

∴ Least Common Multiple of 88,64,492 is 86592

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 88, 64, 492

1. What is the LCM of 88, 64, 492?

Answer: LCM of 88, 64, 492 is 86592.

2. What are the Factors of 86592?

Answer: Factors of 86592 are . There are integers that are factors of 86592

3. How to Find the LCM of 88, 64, 492 ?

Least Common Multiple of 88, 64, 492.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(88, 64, 492) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 41 = 86592.