Least Common Multiple of 21/76, 59/26, 80/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/76, 59/26, 80/980 quickly i.e. 49560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/76, 59/26, 80/980 is 49560.

LCM(21/76, 59/26, 80/980) = 49560

LCM of 21/76, 59/26, 80/980

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 21/76,59/26,80/980

Given numbers are 21/76,59/26,80/980

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 21,59,80

Least Common Multiple of Numerators i.e. LCM of 21,59,80 is 99120.

GCF of Denominators means GCF of 76,26,980 as per the given fractions.

GCF of 76,26,980 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,59,80

LCM of Fractions 21/76,59/26,80/980 is 49560

Given numbers has no common factors except 1. So, there LCM is their product i.e 99120

Least Common Multiple of 21,59,80 with GCF Formula

Least Common Multiple of 21,59,80 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 21,59,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,59,80) = 1

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

GCF(21,59,80) x common factors =1 x 1 = 1

LCM(21,59,80) = ( 21 × 59 × 80 ) / 1

LCM(21,59,80) = 99120 / 1

LCM(21,59,80) = 99120


Lets's calculate GCF of 76,26,980

2 76, 26, 980
38, 13, 490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99120/2

Therefore the LCM of Fractions 21/76,59/26,80/980 is 49560

Greatest Common Factor of 76,26,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,26,980 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 26

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

1,2,13,26

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 76,26,980 . The biggest common factor number is the GCF number.
So the greatest common factor 76,26,980 is 2.


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 21/76, 59/26, 80/980

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 21/76, 59/26, 80/980?

Answer: LCM of Numerators as per given numbers 21/76, 59/26, 80/980 is

LCM of Numerators i.e. for 21,59,80 is 99120

GCF of denominators i.e. for 76,26,980 is 2.

Thus, LCM of Fractions is 49560.Finally, LCM of Fractions for 21/76, 59/26, 80/980 is 49560.