Least Common Multiple of 79/76, 147/20, 725/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/76, 147/20, 725/723 quickly i.e. 8419425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/76, 147/20, 725/723 is 8419425.

LCM(79/76, 147/20, 725/723) = 8419425

LCM of 79/76, 147/20, 725/723

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 79/76,147/20,725/723

Given numbers are 79/76,147/20,725/723

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 79,147,725

Least Common Multiple of Numerators i.e. LCM of 79,147,725 is 8419425.

GCF of Denominators means GCF of 76,20,723 as per the given fractions.

GCF of 76,20,723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,147,725

LCM of Fractions 79/76,147/20,725/723 is 8419425

Given numbers has no common factors except 1. So, there LCM is their product i.e 8419425

Least Common Multiple of 79,147,725 with GCF Formula

Least Common Multiple of 79,147,725 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 79,147,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,147,725) = 1

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

GCF(79,147,725) x common factors =1 x 1 = 1

LCM(79,147,725) = ( 79 × 147 × 725 ) / 1

LCM(79,147,725) = 8419425 / 1

LCM(79,147,725) = 8419425


Lets's calculate GCF of 76,20,723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8419425/1

Therefore the LCM of Fractions 79/76,147/20,725/723 is 8419425

Greatest Common Factor of 76,20,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,20,723 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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 76,20,723 . The biggest common factor number is the GCF number.
So the greatest common factor 76,20,723 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 79/76, 147/20, 725/723

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 79/76, 147/20, 725/723?

Answer: LCM of Numerators as per given numbers 79/76, 147/20, 725/723 is

LCM of Numerators i.e. for 79,147,725 is 8419425

GCF of denominators i.e. for 76,20,723 is 1.

Thus, LCM of Fractions is 8419425.Finally, LCM of Fractions for 79/76, 147/20, 725/723 is 8419425.