Least Common Multiple of 578, 164, 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 578, 164, 492 i.e. 142188 smallest integer divisible by all numbers.

Least common multiple (LCM) of 578, 164, 492 is 142188.

LCM(578, 164, 492) = 142188

LCM of 578, 164, 492

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

LCM of:

Least Common Multiple of 578,164,492

Least Common Multiple (LCM) of 578,164,492 is 142188

2 578, 164, 492
2 289, 82, 246
41 289, 41, 123
289, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 41 x 289 x 1 x 3 = 142188

Least Common Multiple of 578,164,492 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 578,164,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,164,492) = 2

common factors(in case of two or more numbers have common factors) = 164

GCF(578,164,492) x common factors =2 x 164 = 328

LCM(578,164,492) = ( 578 × 164 × 492 ) / 328

LCM(578,164,492) = 46637664 / 328

LCM(578,164,492) = 142188

∴ Least Common Multiple of 578,164,492 is 142188

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 578, 164, 492

1. What is the LCM of 578, 164, 492?

Answer: LCM of 578, 164, 492 is 142188.

2. What are the Factors of 142188?

Answer: Factors of 142188 are . There are integers that are factors of 142188

3. How to Find the LCM of 578, 164, 492 ?

Least Common Multiple of 578, 164, 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(578, 164, 492) = 2 x 2 x 3 x 17 x 17 x 41 = 142188.