Least Common Multiple of 971/363, 1140/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/363, 1140/478 quickly i.e. 1106940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/363, 1140/478 is 1106940.

LCM(971/363, 1140/478) = 1106940

LCM of 971/363, 1140/478

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 971/363,1140/478

Given numbers are 971/363,1140/478

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 971,1140

Least Common Multiple of Numerators i.e. LCM of 971,1140 is 1106940.

GCF of Denominators means GCF of 363,478 as per the given fractions.

GCF of 363,478 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,1140

LCM of Fractions 971/363,1140/478 is 1106940

Given numbers has no common factors except 1. So, there LCM is their product i.e 1106940

Least Common Multiple of 971,1140 with GCF Formula

Least Common Multiple of 971,1140 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 971,1140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,1140) = 1

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

GCF(971,1140) x common factors =1 x 1 = 1

LCM(971,1140) = ( 971 × 1140 ) / 1

LCM(971,1140) = 1106940 / 1

LCM(971,1140) = 1106940


Lets's calculate GCF of 363,478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1106940/1

Therefore the LCM of Fractions 971/363,1140/478 is 1106940

Greatest Common Factor of 363,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,478 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 363,478 . The biggest common factor number is the GCF number.
So the greatest common factor 363,478 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 971/363, 1140/478

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 971/363, 1140/478?

Answer: LCM of Numerators as per given numbers 971/363, 1140/478 is

LCM of Numerators i.e. for 971,1140 is 1106940

GCF of denominators i.e. for 363,478 is 1.

Thus, LCM of Fractions is 1106940.Finally, LCM of Fractions for 971/363, 1140/478 is 1106940.