Least Common Multiple of 80/25, 48/26, 76/34, 21/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/25, 48/26, 76/34, 21/879 quickly i.e. 31920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/25, 48/26, 76/34, 21/879 is 31920.

LCM(80/25, 48/26, 76/34, 21/879) = 31920

LCM of 80/25, 48/26, 76/34, 21/879

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 80/25,48/26,76/34,21/879

Given numbers are 80/25,48/26,76/34,21/879

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 80,48,76,21

Least Common Multiple of Numerators i.e. LCM of 80,48,76,21 is 31920.

GCF of Denominators means GCF of 25,26,34,879 as per the given fractions.

GCF of 25,26,34,879 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,48,76,21

LCM of Fractions 80/25,48/26,76/34,21/879 is 31920

2 80, 48, 76, 21
2 40, 24, 38, 21
2 20, 12, 19, 21
2 10, 6, 19, 21
3 5, 3, 19, 21
5, 1, 19, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 1 x 19 x 7 = 31920

Least Common Multiple of 80,48,76,21 with GCF Formula

Least Common Multiple of 80,48,76,21 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 80,48,76,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,48,76,21) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(80,48,76,21) x common factors =1 x 192 = 192

LCM(80,48,76,21) = ( 80 × 48 × 76 × 21 ) / 192

LCM(80,48,76,21) = 6128640 / 192

LCM(80,48,76,21) = 31920


Lets's calculate GCF of 25,26,34,879

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31920/1

Therefore the LCM of Fractions 80/25,48/26,76/34,21/879 is 31920

Greatest Common Factor of 25,26,34,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,26,34,879 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 25,26,34,879 . The biggest common factor number is the GCF number.
So the greatest common factor 25,26,34,879 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 80/25, 48/26, 76/34, 21/879

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 80/25, 48/26, 76/34, 21/879?

Answer: LCM of Numerators as per given numbers 80/25, 48/26, 76/34, 21/879 is

LCM of Numerators i.e. for 80,48,76,21 is 31920

GCF of denominators i.e. for 25,26,34,879 is 1.

Thus, LCM of Fractions is 31920.Finally, LCM of Fractions for 80/25, 48/26, 76/34, 21/879 is 31920.