Least Common Multiple of 31/78, 37/117, 472/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/78, 37/117, 472/754 quickly i.e. 541384/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/78, 37/117, 472/754 is 541384/13.

LCM(31/78, 37/117, 472/754) = 541384/13

LCM of 31/78, 37/117, 472/754

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 31/78,37/117,472/754

Given numbers are 31/78,37/117,472/754

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 31,37,472

Least Common Multiple of Numerators i.e. LCM of 31,37,472 is 541384.

GCF of Denominators means GCF of 78,117,754 as per the given fractions.

GCF of 78,117,754 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,37,472

LCM of Fractions 31/78,37/117,472/754 is 541384/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 541384

Least Common Multiple of 31,37,472 with GCF Formula

Least Common Multiple of 31,37,472 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 31,37,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,37,472) = 1

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

GCF(31,37,472) x common factors =1 x 1 = 1

LCM(31,37,472) = ( 31 × 37 × 472 ) / 1

LCM(31,37,472) = 541384 / 1

LCM(31,37,472) = 541384


Lets's calculate GCF of 78,117,754

13 78, 117, 754
6, 9, 58

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 541384/13

Therefore the LCM of Fractions 31/78,37/117,472/754 is 541384/13

Greatest Common Factor of 78,117,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,117,754 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 78,117,754 . The biggest common factor number is the GCF number.
So the greatest common factor 78,117,754 is 13.


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 31/78, 37/117, 472/754

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 31/78, 37/117, 472/754?

Answer: LCM of Numerators as per given numbers 31/78, 37/117, 472/754 is

LCM of Numerators i.e. for 31,37,472 is 541384

GCF of denominators i.e. for 78,117,754 is 13.

Thus, LCM of Fractions is 541384/13.Finally, LCM of Fractions for 31/78, 37/117, 472/754 is 541384/13.