Least Common Multiple of 971/595, 220/358, 404/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/595, 220/358, 404/621 quickly i.e. 21575620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/595, 220/358, 404/621 is 21575620.

LCM(971/595, 220/358, 404/621) = 21575620

LCM of 971/595, 220/358, 404/621

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 971/595,220/358,404/621

Given numbers are 971/595,220/358,404/621

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 971,220,404

Least Common Multiple of Numerators i.e. LCM of 971,220,404 is 21575620.

GCF of Denominators means GCF of 595,358,621 as per the given fractions.

GCF of 595,358,621 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,220,404

LCM of Fractions 971/595,220/358,404/621 is 21575620

2 971, 220, 404
2 971, 110, 202
971, 55, 101

∴ So the LCM of the given numbers is 2 x 2 x 971 x 55 x 101 = 21575620

Least Common Multiple of 971,220,404 with GCF Formula

Least Common Multiple of 971,220,404 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 971,220,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,220,404) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(971,220,404) x common factors =1 x 4 = 4

LCM(971,220,404) = ( 971 × 220 × 404 ) / 4

LCM(971,220,404) = 86302480 / 4

LCM(971,220,404) = 21575620


Lets's calculate GCF of 595,358,621

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21575620/1

Therefore the LCM of Fractions 971/595,220/358,404/621 is 21575620

Greatest Common Factor of 595,358,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,358,621 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 595,358,621 . The biggest common factor number is the GCF number.
So the greatest common factor 595,358,621 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 971/595, 220/358, 404/621

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 971/595, 220/358, 404/621?

Answer: LCM of Numerators as per given numbers 971/595, 220/358, 404/621 is

LCM of Numerators i.e. for 971,220,404 is 21575620

GCF of denominators i.e. for 595,358,621 is 1.

Thus, LCM of Fractions is 21575620.Finally, LCM of Fractions for 971/595, 220/358, 404/621 is 21575620.