Least Common Multiple of 272, 8784

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 272, 8784 i.e. 149328 smallest integer divisible by all numbers.

Least common multiple (LCM) of 272, 8784 is 149328.

LCM(272, 8784) = 149328

LCM of 272, 8784

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

LCM of:

Least Common Multiple of 272,8784

Least Common Multiple (LCM) of 272,8784 is 149328

2 272, 8784
2 136, 4392
2 68, 2196
2 34, 1098
17, 549

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 17 x 549 = 149328

Least Common Multiple of 272,8784 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 272,8784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,8784) = 16

common factors(in case of two or more numbers have common factors) = 1

GCF(272,8784) x common factors =16 x 1 = 16

LCM(272,8784) = ( 272 × 8784 ) / 16

LCM(272,8784) = 2389248 / 16

LCM(272,8784) = 149328

∴ Least Common Multiple of 272,8784 is 149328

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 272, 8784

1. What is the LCM of 272, 8784?

Answer: LCM of 272, 8784 is 149328.

2. What are the Factors of 149328?

Answer: Factors of 149328 are . There are integers that are factors of 149328

3. How to Find the LCM of 272, 8784 ?

Least Common Multiple of 272, 8784.

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(272, 8784) = 2 x 2 x 2 x 2 x 3 x 3 x 17 x 61 = 149328.