Least Common Multiple of 31/331, 96/282, 397/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/331, 96/282, 397/132 quickly i.e. 1181472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/331, 96/282, 397/132 is 1181472.

LCM(31/331, 96/282, 397/132) = 1181472

LCM of 31/331, 96/282, 397/132

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 31/331,96/282,397/132

Given numbers are 31/331,96/282,397/132

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 31,96,397

Least Common Multiple of Numerators i.e. LCM of 31,96,397 is 1181472.

GCF of Denominators means GCF of 331,282,132 as per the given fractions.

GCF of 331,282,132 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,96,397

LCM of Fractions 31/331,96/282,397/132 is 1181472

Given numbers has no common factors except 1. So, there LCM is their product i.e 1181472

Least Common Multiple of 31,96,397 with GCF Formula

Least Common Multiple of 31,96,397 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 31,96,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,96,397) = 1

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

GCF(31,96,397) x common factors =1 x 1 = 1

LCM(31,96,397) = ( 31 × 96 × 397 ) / 1

LCM(31,96,397) = 1181472 / 1

LCM(31,96,397) = 1181472


Lets's calculate GCF of 331,282,132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1181472/1

Therefore the LCM of Fractions 31/331,96/282,397/132 is 1181472

Greatest Common Factor of 331,282,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,282,132 By Matching Biggest Common Factor Method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 331,282,132 . The biggest common factor number is the GCF number.
So the greatest common factor 331,282,132 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 31/331, 96/282, 397/132

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 31/331, 96/282, 397/132?

Answer: LCM of Numerators as per given numbers 31/331, 96/282, 397/132 is

LCM of Numerators i.e. for 31,96,397 is 1181472

GCF of denominators i.e. for 331,282,132 is 1.

Thus, LCM of Fractions is 1181472.Finally, LCM of Fractions for 31/331, 96/282, 397/132 is 1181472.