Least Common Multiple of 31/937, 352/298, 781/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/937, 352/298, 781/952 quickly i.e. 774752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/937, 352/298, 781/952 is 774752.

LCM(31/937, 352/298, 781/952) = 774752

LCM of 31/937, 352/298, 781/952

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 31/937,352/298,781/952

Given numbers are 31/937,352/298,781/952

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 31,352,781

Least Common Multiple of Numerators i.e. LCM of 31,352,781 is 774752.

GCF of Denominators means GCF of 937,298,952 as per the given fractions.

GCF of 937,298,952 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,352,781

LCM of Fractions 31/937,352/298,781/952 is 774752

11 31, 352, 781
31, 32, 71

∴ So the LCM of the given numbers is 11 x 31 x 32 x 71 = 774752

Least Common Multiple of 31,352,781 with GCF Formula

Least Common Multiple of 31,352,781 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 31,352,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,352,781) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(31,352,781) x common factors =1 x 11 = 11

LCM(31,352,781) = ( 31 × 352 × 781 ) / 11

LCM(31,352,781) = 8522272 / 11

LCM(31,352,781) = 774752


Lets's calculate GCF of 937,298,952

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 774752/1

Therefore the LCM of Fractions 31/937,352/298,781/952 is 774752

Greatest Common Factor of 937,298,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 937,298,952 By Matching Biggest Common Factor Method

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 937,298,952 . The biggest common factor number is the GCF number.
So the greatest common factor 937,298,952 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 31/937, 352/298, 781/952

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 31/937, 352/298, 781/952?

Answer: LCM of Numerators as per given numbers 31/937, 352/298, 781/952 is

LCM of Numerators i.e. for 31,352,781 is 774752

GCF of denominators i.e. for 937,298,952 is 1.

Thus, LCM of Fractions is 774752.Finally, LCM of Fractions for 31/937, 352/298, 781/952 is 774752.