Least Common Multiple of 56/49, 32/56, 31/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/49, 32/56, 31/78 quickly i.e. 6944 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/49, 32/56, 31/78 is 6944.

LCM(56/49, 32/56, 31/78) = 6944

LCM of 56/49, 32/56, 31/78

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 56/49,32/56,31/78

Given numbers are 56/49,32/56,31/78

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 56,32,31

Least Common Multiple of Numerators i.e. LCM of 56,32,31 is 6944.

GCF of Denominators means GCF of 49,56,78 as per the given fractions.

GCF of 49,56,78 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,32,31

LCM of Fractions 56/49,32/56,31/78 is 6944

2 56, 32, 31
2 28, 16, 31
2 14, 8, 31
7, 4, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 4 x 31 = 6944

Least Common Multiple of 56,32,31 with GCF Formula

Least Common Multiple of 56,32,31 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 56,32,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,32,31) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(56,32,31) x common factors =1 x 8 = 8

LCM(56,32,31) = ( 56 × 32 × 31 ) / 8

LCM(56,32,31) = 55552 / 8

LCM(56,32,31) = 6944


Lets's calculate GCF of 49,56,78

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6944/1

Therefore the LCM of Fractions 56/49,32/56,31/78 is 6944

Greatest Common Factor of 49,56,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,56,78 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 78

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

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

Greatest Common Factor

We found the factors 49,56,78 . The biggest common factor number is the GCF number.
So the greatest common factor 49,56,78 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 56/49, 32/56, 31/78

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 56/49, 32/56, 31/78?

Answer: LCM of Numerators as per given numbers 56/49, 32/56, 31/78 is

LCM of Numerators i.e. for 56,32,31 is 6944

GCF of denominators i.e. for 49,56,78 is 1.

Thus, LCM of Fractions is 6944.Finally, LCM of Fractions for 56/49, 32/56, 31/78 is 6944.