Least Common Multiple of 597/487, 637/971, 930/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 597/487, 637/971, 930/131 quickly i.e. 117889590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 597/487, 637/971, 930/131 is 117889590.

LCM(597/487, 637/971, 930/131) = 117889590

LCM of 597/487, 637/971, 930/131

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 597/487,637/971,930/131

Given numbers are 597/487,637/971,930/131

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 597,637,930

Least Common Multiple of Numerators i.e. LCM of 597,637,930 is 117889590.

GCF of Denominators means GCF of 487,971,131 as per the given fractions.

GCF of 487,971,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 597,637,930

LCM of Fractions 597/487,637/971,930/131 is 117889590

3 597, 637, 930
199, 637, 310

∴ So the LCM of the given numbers is 3 x 199 x 637 x 310 = 117889590

Least Common Multiple of 597,637,930 with GCF Formula

Least Common Multiple of 597,637,930 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 597,637,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(597,637,930) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(597,637,930) x common factors =1 x 3 = 3

LCM(597,637,930) = ( 597 × 637 × 930 ) / 3

LCM(597,637,930) = 353668770 / 3

LCM(597,637,930) = 117889590


Lets's calculate GCF of 487,971,131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117889590/1

Therefore the LCM of Fractions 597/487,637/971,930/131 is 117889590

Greatest Common Factor of 487,971,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,971,131 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 487,971,131 . The biggest common factor number is the GCF number.
So the greatest common factor 487,971,131 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 597/487, 637/971, 930/131

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 597/487, 637/971, 930/131?

Answer: LCM of Numerators as per given numbers 597/487, 637/971, 930/131 is

LCM of Numerators i.e. for 597,637,930 is 117889590

GCF of denominators i.e. for 487,971,131 is 1.

Thus, LCM of Fractions is 117889590.Finally, LCM of Fractions for 597/487, 637/971, 930/131 is 117889590.