Least Common Multiple of 31/231, 658/371, 938/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/231, 658/371, 938/780 quickly i.e. 1366666 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/231, 658/371, 938/780 is 1366666.

LCM(31/231, 658/371, 938/780) = 1366666

LCM of 31/231, 658/371, 938/780

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 31/231,658/371,938/780

Given numbers are 31/231,658/371,938/780

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 31,658,938

Least Common Multiple of Numerators i.e. LCM of 31,658,938 is 1366666.

GCF of Denominators means GCF of 231,371,780 as per the given fractions.

GCF of 231,371,780 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,658,938

LCM of Fractions 31/231,658/371,938/780 is 1366666

2 31, 658, 938
7 31, 329, 469
31, 47, 67

∴ So the LCM of the given numbers is 2 x 7 x 31 x 47 x 67 = 1366666

Least Common Multiple of 31,658,938 with GCF Formula

Least Common Multiple of 31,658,938 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 31,658,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,658,938) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(31,658,938) x common factors =1 x 14 = 14

LCM(31,658,938) = ( 31 × 658 × 938 ) / 14

LCM(31,658,938) = 19133324 / 14

LCM(31,658,938) = 1366666


Lets's calculate GCF of 231,371,780

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1366666/1

Therefore the LCM of Fractions 31/231,658/371,938/780 is 1366666

Greatest Common Factor of 231,371,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,371,780 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 231,371,780 . The biggest common factor number is the GCF number.
So the greatest common factor 231,371,780 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 31/231, 658/371, 938/780

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 31/231, 658/371, 938/780?

Answer: LCM of Numerators as per given numbers 31/231, 658/371, 938/780 is

LCM of Numerators i.e. for 31,658,938 is 1366666

GCF of denominators i.e. for 231,371,780 is 1.

Thus, LCM of Fractions is 1366666.Finally, LCM of Fractions for 31/231, 658/371, 938/780 is 1366666.