Least Common Multiple of 21/77, 23/80, 644/27

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/77, 23/80, 644/27 quickly i.e. 1932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/77, 23/80, 644/27 is 1932.

LCM(21/77, 23/80, 644/27) = 1932

LCM of 21/77, 23/80, 644/27

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 21/77,23/80,644/27

Given numbers are 21/77,23/80,644/27

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 21,23,644

Least Common Multiple of Numerators i.e. LCM of 21,23,644 is 1932.

GCF of Denominators means GCF of 77,80,27 as per the given fractions.

GCF of 77,80,27 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,23,644

LCM of Fractions 21/77,23/80,644/27 is 1932

7 21, 23, 644
23 3, 23, 92
3, 1, 4

∴ So the LCM of the given numbers is 7 x 23 x 3 x 1 x 4 = 1932

Least Common Multiple of 21,23,644 with GCF Formula

Least Common Multiple of 21,23,644 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 21,23,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,23,644) = 1

common factors(in case of two or more numbers have common factors) = 161

GCF(21,23,644) x common factors =1 x 161 = 161

LCM(21,23,644) = ( 21 × 23 × 644 ) / 161

LCM(21,23,644) = 311052 / 161

LCM(21,23,644) = 1932


Lets's calculate GCF of 77,80,27

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1932/1

Therefore the LCM of Fractions 21/77,23/80,644/27 is 1932

Greatest Common Factor of 77,80,27 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,80,27 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

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 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Greatest Common Factor

We found the factors 77,80,27 . The biggest common factor number is the GCF number.
So the greatest common factor 77,80,27 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 21/77, 23/80, 644/27

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 21/77, 23/80, 644/27?

Answer: LCM of Numerators as per given numbers 21/77, 23/80, 644/27 is

LCM of Numerators i.e. for 21,23,644 is 1932

GCF of denominators i.e. for 77,80,27 is 1.

Thus, LCM of Fractions is 1932.Finally, LCM of Fractions for 21/77, 23/80, 644/27 is 1932.