Least Common Multiple of 26/127, 123/971, 855/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/127, 123/971, 855/274 quickly i.e. 911430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/127, 123/971, 855/274 is 911430.

LCM(26/127, 123/971, 855/274) = 911430

LCM of 26/127, 123/971, 855/274

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 26/127,123/971,855/274

Given numbers are 26/127,123/971,855/274

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 26,123,855

Least Common Multiple of Numerators i.e. LCM of 26,123,855 is 911430.

GCF of Denominators means GCF of 127,971,274 as per the given fractions.

GCF of 127,971,274 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,123,855

LCM of Fractions 26/127,123/971,855/274 is 911430

3 26, 123, 855
26, 41, 285

∴ So the LCM of the given numbers is 3 x 26 x 41 x 285 = 911430

Least Common Multiple of 26,123,855 with GCF Formula

Least Common Multiple of 26,123,855 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 26,123,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,123,855) = 1

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

GCF(26,123,855) x common factors =1 x 3 = 3

LCM(26,123,855) = ( 26 × 123 × 855 ) / 3

LCM(26,123,855) = 2734290 / 3

LCM(26,123,855) = 911430


Lets's calculate GCF of 127,971,274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 911430/1

Therefore the LCM of Fractions 26/127,123/971,855/274 is 911430

Greatest Common Factor of 127,971,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 127,971,274 By Matching Biggest Common Factor Method

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Factors of 971

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

1,971

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 127,971,274 . The biggest common factor number is the GCF number.
So the greatest common factor 127,971,274 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 26/127, 123/971, 855/274

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 26/127, 123/971, 855/274?

Answer: LCM of Numerators as per given numbers 26/127, 123/971, 855/274 is

LCM of Numerators i.e. for 26,123,855 is 911430

GCF of denominators i.e. for 127,971,274 is 1.

Thus, LCM of Fractions is 911430.Finally, LCM of Fractions for 26/127, 123/971, 855/274 is 911430.