Least Common Multiple of 577, 123, 149, 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 577, 123, 149, 492 i.e. 42298716 smallest integer divisible by all numbers.

Least common multiple (LCM) of 577, 123, 149, 492 is 42298716.

LCM(577, 123, 149, 492) = 42298716

LCM of 577, 123, 149, 492

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

LCM of:

Least Common Multiple of 577,123,149,492

Least Common Multiple (LCM) of 577,123,149,492 is 42298716

3 577, 123, 149, 492
41 577, 41, 149, 164
577, 1, 149, 4

∴ So the LCM of the given numbers is 3 x 41 x 577 x 1 x 149 x 4 = 42298716

Least Common Multiple of 577,123,149,492 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 577,123,149,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,123,149,492) = 1

common factors(in case of two or more numbers have common factors) = 123

GCF(577,123,149,492) x common factors =1 x 123 = 123

LCM(577,123,149,492) = ( 577 × 123 × 149 × 492 ) / 123

LCM(577,123,149,492) = 5202742068 / 123

LCM(577,123,149,492) = 42298716

∴ Least Common Multiple of 577,123,149,492 is 42298716

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 577, 123, 149, 492

1. What is the LCM of 577, 123, 149, 492?

Answer: LCM of 577, 123, 149, 492 is 42298716.

2. What are the Factors of 42298716?

Answer: Factors of 42298716 are . There are integers that are factors of 42298716

3. How to Find the LCM of 577, 123, 149, 492 ?

Least Common Multiple of 577, 123, 149, 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(577, 123, 149, 492) = 2 x 2 x 3 x 41 x 149 x 577 = 42298716.