Least Common Multiple of 971/54, 1422/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/54, 1422/279 quickly i.e. 153418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/54, 1422/279 is 153418.

LCM(971/54, 1422/279) = 153418

LCM of 971/54, 1422/279

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 971/54,1422/279

Given numbers are 971/54,1422/279

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 971,1422

Least Common Multiple of Numerators i.e. LCM of 971,1422 is 1380762.

GCF of Denominators means GCF of 54,279 as per the given fractions.

GCF of 54,279 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,1422

LCM of Fractions 971/54,1422/279 is 153418

Given numbers has no common factors except 1. So, there LCM is their product i.e 1380762

Least Common Multiple of 971,1422 with GCF Formula

Least Common Multiple of 971,1422 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 971,1422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,1422) = 1

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

GCF(971,1422) x common factors =1 x 1 = 1

LCM(971,1422) = ( 971 × 1422 ) / 1

LCM(971,1422) = 1380762 / 1

LCM(971,1422) = 1380762


Lets's calculate GCF of 54,279

3 54, 279
3 18, 93
6, 31

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1380762/9

Therefore the LCM of Fractions 971/54,1422/279 is 153418

Greatest Common Factor of 54,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,279 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 54,279 . The biggest common factor number is the GCF number.
So the greatest common factor 54,279 is 9.


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 971/54, 1422/279

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 971/54, 1422/279?

Answer: LCM of Numerators as per given numbers 971/54, 1422/279 is

LCM of Numerators i.e. for 971,1422 is 1380762

GCF of denominators i.e. for 54,279 is 9.

Thus, LCM of Fractions is 153418.Finally, LCM of Fractions for 971/54, 1422/279 is 153418.