Least Common Multiple of 157/48, 379/76, 400/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 157/48, 379/76, 400/404 quickly i.e. 5950300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 157/48, 379/76, 400/404 is 5950300.

LCM(157/48, 379/76, 400/404) = 5950300

LCM of 157/48, 379/76, 400/404

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 157/48,379/76,400/404

Given numbers are 157/48,379/76,400/404

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 157,379,400

Least Common Multiple of Numerators i.e. LCM of 157,379,400 is 23801200.

GCF of Denominators means GCF of 48,76,404 as per the given fractions.

GCF of 48,76,404 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 157,379,400

LCM of Fractions 157/48,379/76,400/404 is 5950300

Given numbers has no common factors except 1. So, there LCM is their product i.e 23801200

Least Common Multiple of 157,379,400 with GCF Formula

Least Common Multiple of 157,379,400 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 157,379,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,379,400) = 1

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

GCF(157,379,400) x common factors =1 x 1 = 1

LCM(157,379,400) = ( 157 × 379 × 400 ) / 1

LCM(157,379,400) = 23801200 / 1

LCM(157,379,400) = 23801200


Lets's calculate GCF of 48,76,404

2 48, 76, 404
2 24, 38, 202
12, 19, 101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23801200/4

Therefore the LCM of Fractions 157/48,379/76,400/404 is 5950300

Greatest Common Factor of 48,76,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,76,404 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 76

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

1,2,4,19,38,76

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 48,76,404 . The biggest common factor number is the GCF number.
So the greatest common factor 48,76,404 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 157/48, 379/76, 400/404

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 157/48, 379/76, 400/404?

Answer: LCM of Numerators as per given numbers 157/48, 379/76, 400/404 is

LCM of Numerators i.e. for 157,379,400 is 23801200

GCF of denominators i.e. for 48,76,404 is 4.

Thus, LCM of Fractions is 5950300.Finally, LCM of Fractions for 157/48, 379/76, 400/404 is 5950300.