Least Common Multiple of 975, 213, 429

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 975, 213, 429 i.e. 761475 smallest integer divisible by all numbers.

Least common multiple (LCM) of 975, 213, 429 is 761475.

LCM(975, 213, 429) = 761475

LCM of 975, 213, 429

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

LCM of:

Least Common Multiple of 975,213,429

Least Common Multiple (LCM) of 975,213,429 is 761475

3 975, 213, 429
13 325, 71, 143
25, 71, 11

∴ So the LCM of the given numbers is 3 x 13 x 25 x 71 x 11 = 761475

Least Common Multiple of 975,213,429 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 975,213,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,213,429) = 3

common factors(in case of two or more numbers have common factors) = 39

GCF(975,213,429) x common factors =3 x 39 = 117

LCM(975,213,429) = ( 975 × 213 × 429 ) / 117

LCM(975,213,429) = 89092575 / 117

LCM(975,213,429) = 761475

∴ Least Common Multiple of 975,213,429 is 761475

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 975, 213, 429

1. What is the LCM of 975, 213, 429?

Answer: LCM of 975, 213, 429 is 761475.

2. What are the Factors of 761475?

Answer: Factors of 761475 are . There are integers that are factors of 761475

3. How to Find the LCM of 975, 213, 429 ?

Least Common Multiple of 975, 213, 429.

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(975, 213, 429) = 3 x 5 x 5 x 11 x 13 x 71 = 761475.