Least Common Multiple of 12/40, 71/853, 157/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/40, 71/853, 157/968 quickly i.e. 133764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/40, 71/853, 157/968 is 133764.

LCM(12/40, 71/853, 157/968) = 133764

LCM of 12/40, 71/853, 157/968

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 12/40,71/853,157/968

Given numbers are 12/40,71/853,157/968

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 12,71,157

Least Common Multiple of Numerators i.e. LCM of 12,71,157 is 133764.

GCF of Denominators means GCF of 40,853,968 as per the given fractions.

GCF of 40,853,968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,71,157

LCM of Fractions 12/40,71/853,157/968 is 133764

Given numbers has no common factors except 1. So, there LCM is their product i.e 133764

Least Common Multiple of 12,71,157 with GCF Formula

Least Common Multiple of 12,71,157 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 12,71,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,71,157) = 1

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

GCF(12,71,157) x common factors =1 x 1 = 1

LCM(12,71,157) = ( 12 × 71 × 157 ) / 1

LCM(12,71,157) = 133764 / 1

LCM(12,71,157) = 133764


Lets's calculate GCF of 40,853,968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133764/1

Therefore the LCM of Fractions 12/40,71/853,157/968 is 133764

Greatest Common Factor of 40,853,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,853,968 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 40,853,968 . The biggest common factor number is the GCF number.
So the greatest common factor 40,853,968 is 1.


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 12/40, 71/853, 157/968

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 12/40, 71/853, 157/968?

Answer: LCM of Numerators as per given numbers 12/40, 71/853, 157/968 is

LCM of Numerators i.e. for 12,71,157 is 133764

GCF of denominators i.e. for 40,853,968 is 1.

Thus, LCM of Fractions is 133764.Finally, LCM of Fractions for 12/40, 71/853, 157/968 is 133764.