Least Common Multiple of 975, 404, 146, 279, 425

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, 404, 146, 279, 425 i.e. 45461180700 smallest integer divisible by all numbers.

Least common multiple (LCM) of 975, 404, 146, 279, 425 is 45461180700.

LCM(975, 404, 146, 279, 425) = 45461180700

LCM of 975, 404, 146, 279, 425

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

LCM of:

Least Common Multiple of 975,404,146,279,425

Least Common Multiple (LCM) of 975,404,146,279,425 is 45461180700

2 975, 404, 146, 279, 425
3 975, 202, 73, 279, 425
5 325, 202, 73, 93, 425
5 65, 202, 73, 93, 85
13, 202, 73, 93, 17

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 13 x 202 x 73 x 93 x 17 = 45461180700

Least Common Multiple of 975,404,146,279,425 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 975,404,146,279,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,404,146,279,425) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(975,404,146,279,425) x common factors =1 x 150 = 150

LCM(975,404,146,279,425) = ( 975 × 404 × 146 × 279 × 425 ) / 150

LCM(975,404,146,279,425) = 6819177105000 / 150

LCM(975,404,146,279,425) = 45461180700

∴ Least Common Multiple of 975,404,146,279,425 is 45461180700

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 975, 404, 146, 279, 425

1. What is the LCM of 975, 404, 146, 279, 425?

Answer: LCM of 975, 404, 146, 279, 425 is 45461180700.

2. What are the Factors of 45461180700?

Answer: Factors of 45461180700 are . There are integers that are factors of 45461180700

3. How to Find the LCM of 975, 404, 146, 279, 425 ?

Least Common Multiple of 975, 404, 146, 279, 425.

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, 404, 146, 279, 425) = 2 x 2 x 3 x 3 x 5 x 5 x 13 x 17 x 31 x 73 x 101 = 45461180700.