Least Common Multiple of 21/80, 53/72, 30/26, 60/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/80, 53/72, 30/26, 60/858 quickly i.e. 11130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/80, 53/72, 30/26, 60/858 is 11130.

LCM(21/80, 53/72, 30/26, 60/858) = 11130

LCM of 21/80, 53/72, 30/26, 60/858

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 21/80,53/72,30/26,60/858

Given numbers are 21/80,53/72,30/26,60/858

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 21,53,30,60

Least Common Multiple of Numerators i.e. LCM of 21,53,30,60 is 22260.

GCF of Denominators means GCF of 80,72,26,858 as per the given fractions.

GCF of 80,72,26,858 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,53,30,60

LCM of Fractions 21/80,53/72,30/26,60/858 is 11130

2 21, 53, 30, 60
3 21, 53, 15, 30
5 7, 53, 5, 10
7, 53, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 53 x 1 x 2 = 22260

Least Common Multiple of 21,53,30,60 with GCF Formula

Least Common Multiple of 21,53,30,60 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 21,53,30,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,53,30,60) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(21,53,30,60) x common factors =1 x 90 = 90

LCM(21,53,30,60) = ( 21 × 53 × 30 × 60 ) / 90

LCM(21,53,30,60) = 2003400 / 90

LCM(21,53,30,60) = 22260


Lets's calculate GCF of 80,72,26,858

2 80, 72, 26, 858
40, 36, 13, 429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22260/2

Therefore the LCM of Fractions 21/80,53/72,30/26,60/858 is 11130

Greatest Common Factor of 80,72,26,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,72,26,858 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 26

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

1,2,13,26

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 80,72,26,858 . The biggest common factor number is the GCF number.
So the greatest common factor 80,72,26,858 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 21/80, 53/72, 30/26, 60/858

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 21/80, 53/72, 30/26, 60/858?

Answer: LCM of Numerators as per given numbers 21/80, 53/72, 30/26, 60/858 is

LCM of Numerators i.e. for 21,53,30,60 is 22260

GCF of denominators i.e. for 80,72,26,858 is 2.

Thus, LCM of Fractions is 11130.Finally, LCM of Fractions for 21/80, 53/72, 30/26, 60/858 is 11130.