Least Common Multiple of 489, 971, 961

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 489, 971, 961 i.e. 456301059 smallest integer divisible by all numbers.

Least common multiple (LCM) of 489, 971, 961 is 456301059.

LCM(489, 971, 961) = 456301059

LCM of 489, 971, 961

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

LCM of:

Least Common Multiple of 489,971,961

Least Common Multiple (LCM) of 489,971,961 is 456301059

Given numbers has no common factors except 1. So, there LCM is their product i.e 456301059

Least Common Multiple of 489,971,961 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 489,971,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,971,961) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(489,971,961) x common factors =1 x 1 = 1

LCM(489,971,961) = ( 489 × 971 × 961 ) / 1

LCM(489,971,961) = 456301059 / 1

LCM(489,971,961) = 456301059

∴ Least Common Multiple of 489,971,961 is 456301059

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 489, 971, 961

1. What is the LCM of 489, 971, 961?

Answer: LCM of 489, 971, 961 is 456301059.

2. What are the Factors of 456301059?

Answer: Factors of 456301059 are . There are integers that are factors of 456301059

3. How to Find the LCM of 489, 971, 961 ?

Least Common Multiple of 489, 971, 961.

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(489, 971, 961) = 3 x 31 x 31 x 163 x 971 = 456301059.