Least Common Multiple of 789/76, 422/5080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 789/76, 422/5080 quickly i.e. 332958/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/76, 422/5080 is 332958/4.

LCM(789/76, 422/5080) = 332958/4

LCM of 789/76, 422/5080

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 789/76,422/5080

Given numbers are 789/76,422/5080

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 789,422

Least Common Multiple of Numerators i.e. LCM of 789,422 is 332958.

GCF of Denominators means GCF of 76,5080 as per the given fractions.

GCF of 76,5080 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,422

LCM of Fractions 789/76,422/5080 is 332958/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 332958

Least Common Multiple of 789,422 with GCF Formula

Least Common Multiple of 789,422 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 789,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,422) = 1

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

GCF(789,422) x common factors =1 x 1 = 1

LCM(789,422) = ( 789 × 422 ) / 1

LCM(789,422) = 332958 / 1

LCM(789,422) = 332958


Lets's calculate GCF of 76,5080

2 76, 5080
2 38, 2540
19, 1270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 332958/4

Therefore the LCM of Fractions 789/76,422/5080 is 332958/4

Greatest Common Factor of 76,5080 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,5080 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 5080

List of positive integer factors of 5080 that divides 5080 without a remainder.

1,2,4,5,8,10,20,40,127,254,508,635,1016,1270,2540,5080

Greatest Common Factor

We found the factors 76,5080 . The biggest common factor number is the GCF number.
So the greatest common factor 76,5080 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 789/76, 422/5080

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 789/76, 422/5080?

Answer: LCM of Numerators as per given numbers 789/76, 422/5080 is

LCM of Numerators i.e. for 789,422 is 332958

GCF of denominators i.e. for 76,5080 is 4.

Thus, LCM of Fractions is 332958/4.Finally, LCM of Fractions for 789/76, 422/5080 is 332958/4.