Least Common Multiple of 5607/978, 7936/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5607/978, 7936/940 quickly i.e. 22248576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5607/978, 7936/940 is 22248576.

LCM(5607/978, 7936/940) = 22248576

LCM of 5607/978, 7936/940

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 5607/978,7936/940

Given numbers are 5607/978,7936/940

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 5607,7936

Least Common Multiple of Numerators i.e. LCM of 5607,7936 is 44497152.

GCF of Denominators means GCF of 978,940 as per the given fractions.

GCF of 978,940 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5607,7936

LCM of Fractions 5607/978,7936/940 is 22248576

Given numbers has no common factors except 1. So, there LCM is their product i.e 44497152

Least Common Multiple of 5607,7936 with GCF Formula

Least Common Multiple of 5607,7936 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 5607,7936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5607,7936) = 1

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

GCF(5607,7936) x common factors =1 x 1 = 1

LCM(5607,7936) = ( 5607 × 7936 ) / 1

LCM(5607,7936) = 44497152 / 1

LCM(5607,7936) = 44497152


Lets's calculate GCF of 978,940

2 978, 940
489, 470

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44497152/2

Therefore the LCM of Fractions 5607/978,7936/940 is 22248576

Greatest Common Factor of 978,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,940 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 978,940 . The biggest common factor number is the GCF number.
So the greatest common factor 978,940 is 2.


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 5607/978, 7936/940

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 5607/978, 7936/940?

Answer: LCM of Numerators as per given numbers 5607/978, 7936/940 is

LCM of Numerators i.e. for 5607,7936 is 44497152

GCF of denominators i.e. for 978,940 is 2.

Thus, LCM of Fractions is 22248576.Finally, LCM of Fractions for 5607/978, 7936/940 is 22248576.