Least Common Multiple of 971/230, 6712/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/230, 6712/938 quickly i.e. 3258676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/230, 6712/938 is 3258676.

LCM(971/230, 6712/938) = 3258676

LCM of 971/230, 6712/938

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 971/230,6712/938

Given numbers are 971/230,6712/938

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 971,6712

Least Common Multiple of Numerators i.e. LCM of 971,6712 is 6517352.

GCF of Denominators means GCF of 230,938 as per the given fractions.

GCF of 230,938 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,6712

LCM of Fractions 971/230,6712/938 is 3258676

Given numbers has no common factors except 1. So, there LCM is their product i.e 6517352

Least Common Multiple of 971,6712 with GCF Formula

Least Common Multiple of 971,6712 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 971,6712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,6712) = 1

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

GCF(971,6712) x common factors =1 x 1 = 1

LCM(971,6712) = ( 971 × 6712 ) / 1

LCM(971,6712) = 6517352 / 1

LCM(971,6712) = 6517352


Lets's calculate GCF of 230,938

2 230, 938
115, 469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6517352/2

Therefore the LCM of Fractions 971/230,6712/938 is 3258676

Greatest Common Factor of 230,938 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,938 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Greatest Common Factor

We found the factors 230,938 . The biggest common factor number is the GCF number.
So the greatest common factor 230,938 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 971/230, 6712/938

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 971/230, 6712/938?

Answer: LCM of Numerators as per given numbers 971/230, 6712/938 is

LCM of Numerators i.e. for 971,6712 is 6517352

GCF of denominators i.e. for 230,938 is 2.

Thus, LCM of Fractions is 3258676.Finally, LCM of Fractions for 971/230, 6712/938 is 3258676.