Least Common Multiple of 64/156, 938/315, 331/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/156, 938/315, 331/380 quickly i.e. 9935296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/156, 938/315, 331/380 is 9935296.

LCM(64/156, 938/315, 331/380) = 9935296

LCM of 64/156, 938/315, 331/380

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 64/156,938/315,331/380

Given numbers are 64/156,938/315,331/380

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 64,938,331

Least Common Multiple of Numerators i.e. LCM of 64,938,331 is 9935296.

GCF of Denominators means GCF of 156,315,380 as per the given fractions.

GCF of 156,315,380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,938,331

LCM of Fractions 64/156,938/315,331/380 is 9935296

2 64, 938, 331
32, 469, 331

∴ So the LCM of the given numbers is 2 x 32 x 469 x 331 = 9935296

Least Common Multiple of 64,938,331 with GCF Formula

Least Common Multiple of 64,938,331 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 64,938,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,938,331) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(64,938,331) x common factors =1 x 2 = 2

LCM(64,938,331) = ( 64 × 938 × 331 ) / 2

LCM(64,938,331) = 19870592 / 2

LCM(64,938,331) = 9935296


Lets's calculate GCF of 156,315,380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9935296/1

Therefore the LCM of Fractions 64/156,938/315,331/380 is 9935296

Greatest Common Factor of 156,315,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,315,380 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 156,315,380 . The biggest common factor number is the GCF number.
So the greatest common factor 156,315,380 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 64/156, 938/315, 331/380

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 64/156, 938/315, 331/380?

Answer: LCM of Numerators as per given numbers 64/156, 938/315, 331/380 is

LCM of Numerators i.e. for 64,938,331 is 9935296

GCF of denominators i.e. for 156,315,380 is 1.

Thus, LCM of Fractions is 9935296.Finally, LCM of Fractions for 64/156, 938/315, 331/380 is 9935296.