Least Common Multiple of 971/54, 952/34, 906/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/54, 952/34, 906/232 quickly i.e. 209374788 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, 952/34, 906/232 is 209374788.

LCM(971/54, 952/34, 906/232) = 209374788

LCM of 971/54, 952/34, 906/232

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 971/54,952/34,906/232

Given numbers are 971/54,952/34,906/232

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 971,952,906

Least Common Multiple of Numerators i.e. LCM of 971,952,906 is 418749576.

GCF of Denominators means GCF of 54,34,232 as per the given fractions.

GCF of 54,34,232 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,952,906

LCM of Fractions 971/54,952/34,906/232 is 209374788

2 971, 952, 906
971, 476, 453

∴ So the LCM of the given numbers is 2 x 971 x 476 x 453 = 418749576

Least Common Multiple of 971,952,906 with GCF Formula

Least Common Multiple of 971,952,906 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 971,952,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,952,906) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(971,952,906) x common factors =1 x 2 = 2

LCM(971,952,906) = ( 971 × 952 × 906 ) / 2

LCM(971,952,906) = 837499152 / 2

LCM(971,952,906) = 418749576


Lets's calculate GCF of 54,34,232

2 54, 34, 232
27, 17, 116

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 418749576/2

Therefore the LCM of Fractions 971/54,952/34,906/232 is 209374788

Greatest Common Factor of 54,34,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,34,232 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 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 54,34,232 . The biggest common factor number is the GCF number.
So the greatest common factor 54,34,232 is 2.


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, 952/34, 906/232

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, 952/34, 906/232?

Answer: LCM of Numerators as per given numbers 971/54, 952/34, 906/232 is

LCM of Numerators i.e. for 971,952,906 is 418749576

GCF of denominators i.e. for 54,34,232 is 2.

Thus, LCM of Fractions is 209374788.Finally, LCM of Fractions for 971/54, 952/34, 906/232 is 209374788.