Least Common Multiple of 637/64, 982/90, 338/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 637/64, 982/90, 338/359 quickly i.e. 8131942 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 637/64, 982/90, 338/359 is 8131942.

LCM(637/64, 982/90, 338/359) = 8131942

LCM of 637/64, 982/90, 338/359

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 637/64,982/90,338/359

Given numbers are 637/64,982/90,338/359

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 637,982,338

Least Common Multiple of Numerators i.e. LCM of 637,982,338 is 8131942.

GCF of Denominators means GCF of 64,90,359 as per the given fractions.

GCF of 64,90,359 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 637,982,338

LCM of Fractions 637/64,982/90,338/359 is 8131942

2 637, 982, 338
13 637, 491, 169
49, 491, 13

∴ So the LCM of the given numbers is 2 x 13 x 49 x 491 x 13 = 8131942

Least Common Multiple of 637,982,338 with GCF Formula

Least Common Multiple of 637,982,338 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 637,982,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(637,982,338) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(637,982,338) x common factors =1 x 26 = 26

LCM(637,982,338) = ( 637 × 982 × 338 ) / 26

LCM(637,982,338) = 211430492 / 26

LCM(637,982,338) = 8131942


Lets's calculate GCF of 64,90,359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8131942/1

Therefore the LCM of Fractions 637/64,982/90,338/359 is 8131942

Greatest Common Factor of 64,90,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,90,359 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 64,90,359 . The biggest common factor number is the GCF number.
So the greatest common factor 64,90,359 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 637/64, 982/90, 338/359

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 637/64, 982/90, 338/359?

Answer: LCM of Numerators as per given numbers 637/64, 982/90, 338/359 is

LCM of Numerators i.e. for 637,982,338 is 8131942

GCF of denominators i.e. for 64,90,359 is 1.

Thus, LCM of Fractions is 8131942.Finally, LCM of Fractions for 637/64, 982/90, 338/359 is 8131942.