Least Common Multiple of 156/40, 712/31, 755/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 156/40, 712/31, 755/364 quickly i.e. 20964840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 156/40, 712/31, 755/364 is 20964840.

LCM(156/40, 712/31, 755/364) = 20964840

LCM of 156/40, 712/31, 755/364

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 156/40,712/31,755/364

Given numbers are 156/40,712/31,755/364

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 156,712,755

Least Common Multiple of Numerators i.e. LCM of 156,712,755 is 20964840.

GCF of Denominators means GCF of 40,31,364 as per the given fractions.

GCF of 40,31,364 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 156,712,755

LCM of Fractions 156/40,712/31,755/364 is 20964840

2 156, 712, 755
2 78, 356, 755
39, 178, 755

∴ So the LCM of the given numbers is 2 x 2 x 39 x 178 x 755 = 20964840

Least Common Multiple of 156,712,755 with GCF Formula

Least Common Multiple of 156,712,755 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 156,712,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,712,755) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(156,712,755) x common factors =1 x 4 = 4

LCM(156,712,755) = ( 156 × 712 × 755 ) / 4

LCM(156,712,755) = 83859360 / 4

LCM(156,712,755) = 20964840


Lets's calculate GCF of 40,31,364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20964840/1

Therefore the LCM of Fractions 156/40,712/31,755/364 is 20964840

Greatest Common Factor of 40,31,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,31,364 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 40,31,364 . The biggest common factor number is the GCF number.
So the greatest common factor 40,31,364 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 156/40, 712/31, 755/364

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 156/40, 712/31, 755/364?

Answer: LCM of Numerators as per given numbers 156/40, 712/31, 755/364 is

LCM of Numerators i.e. for 156,712,755 is 20964840

GCF of denominators i.e. for 40,31,364 is 1.

Thus, LCM of Fractions is 20964840.Finally, LCM of Fractions for 156/40, 712/31, 755/364 is 20964840.