Least Common Multiple of 251/79, 328/21, 992/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 251/79, 328/21, 992/902 quickly i.e. 10208672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 251/79, 328/21, 992/902 is 10208672.

LCM(251/79, 328/21, 992/902) = 10208672

LCM of 251/79, 328/21, 992/902

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 251/79,328/21,992/902

Given numbers are 251/79,328/21,992/902

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 251,328,992

Least Common Multiple of Numerators i.e. LCM of 251,328,992 is 10208672.

GCF of Denominators means GCF of 79,21,902 as per the given fractions.

GCF of 79,21,902 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 251,328,992

LCM of Fractions 251/79,328/21,992/902 is 10208672

2 251, 328, 992
2 251, 164, 496
2 251, 82, 248
251, 41, 124

∴ So the LCM of the given numbers is 2 x 2 x 2 x 251 x 41 x 124 = 10208672

Least Common Multiple of 251,328,992 with GCF Formula

Least Common Multiple of 251,328,992 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 251,328,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,328,992) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(251,328,992) x common factors =1 x 8 = 8

LCM(251,328,992) = ( 251 × 328 × 992 ) / 8

LCM(251,328,992) = 81669376 / 8

LCM(251,328,992) = 10208672


Lets's calculate GCF of 79,21,902

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10208672/1

Therefore the LCM of Fractions 251/79,328/21,992/902 is 10208672

Greatest Common Factor of 79,21,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,21,902 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 79,21,902 . The biggest common factor number is the GCF number.
So the greatest common factor 79,21,902 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 251/79, 328/21, 992/902

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 251/79, 328/21, 992/902?

Answer: LCM of Numerators as per given numbers 251/79, 328/21, 992/902 is

LCM of Numerators i.e. for 251,328,992 is 10208672

GCF of denominators i.e. for 79,21,902 is 1.

Thus, LCM of Fractions is 10208672.Finally, LCM of Fractions for 251/79, 328/21, 992/902 is 10208672.