Least Common Multiple of 976, 175, 420

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 976, 175, 420 i.e. 512400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 976, 175, 420 is 512400.

LCM(976, 175, 420) = 512400

LCM of 976, 175, 420

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

LCM of:

Least Common Multiple of 976,175,420

Least Common Multiple (LCM) of 976,175,420 is 512400

2 976, 175, 420
2 488, 175, 210
5 244, 175, 105
7 244, 35, 21
244, 5, 3

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 244 x 5 x 3 = 512400

Least Common Multiple of 976,175,420 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 976,175,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,175,420) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(976,175,420) x common factors =1 x 140 = 140

LCM(976,175,420) = ( 976 × 175 × 420 ) / 140

LCM(976,175,420) = 71736000 / 140

LCM(976,175,420) = 512400

∴ Least Common Multiple of 976,175,420 is 512400

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 976, 175, 420

1. What is the LCM of 976, 175, 420?

Answer: LCM of 976, 175, 420 is 512400.

2. What are the Factors of 512400?

Answer: Factors of 512400 are . There are integers that are factors of 512400

3. How to Find the LCM of 976, 175, 420 ?

Least Common Multiple of 976, 175, 420.

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(976, 175, 420) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 61 = 512400.