Least Common Multiple of 78/660, 5690/7912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/660, 5690/7912 quickly i.e. 221910/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/660, 5690/7912 is 221910/4.

LCM(78/660, 5690/7912) = 221910/4

LCM of 78/660, 5690/7912

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 78/660,5690/7912

Given numbers are 78/660,5690/7912

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 78,5690

Least Common Multiple of Numerators i.e. LCM of 78,5690 is 221910.

GCF of Denominators means GCF of 660,7912 as per the given fractions.

GCF of 660,7912 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,5690

LCM of Fractions 78/660,5690/7912 is 221910/4

2 78, 5690
39, 2845

∴ So the LCM of the given numbers is 2 x 39 x 2845 = 221910

Least Common Multiple of 78,5690 with GCF Formula

Least Common Multiple of 78,5690 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 78,5690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,5690) = 2

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

GCF(78,5690) x common factors =2 x 1 = 2

LCM(78,5690) = ( 78 × 5690 ) / 2

LCM(78,5690) = 443820 / 2

LCM(78,5690) = 221910


Lets's calculate GCF of 660,7912

2 660, 7912
2 330, 3956
165, 1978

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221910/4

Therefore the LCM of Fractions 78/660,5690/7912 is 221910/4

Greatest Common Factor of 660,7912 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,7912 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 7912

List of positive integer factors of 7912 that divides 7912 without a remainder.

1,2,4,8,23,43,46,86,92,172,184,344,989,1978,3956,7912

Greatest Common Factor

We found the factors 660,7912 . The biggest common factor number is the GCF number.
So the greatest common factor 660,7912 is 4.


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 78/660, 5690/7912

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 78/660, 5690/7912?

Answer: LCM of Numerators as per given numbers 78/660, 5690/7912 is

LCM of Numerators i.e. for 78,5690 is 221910

GCF of denominators i.e. for 660,7912 is 4.

Thus, LCM of Fractions is 221910/4.Finally, LCM of Fractions for 78/660, 5690/7912 is 221910/4.