Least Common Multiple of 27/84, 12/70, 21/78, 87/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/84, 12/70, 21/78, 87/769 quickly i.e. 21924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/84, 12/70, 21/78, 87/769 is 21924.

LCM(27/84, 12/70, 21/78, 87/769) = 21924

LCM of 27/84, 12/70, 21/78, 87/769

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 27/84,12/70,21/78,87/769

Given numbers are 27/84,12/70,21/78,87/769

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 27,12,21,87

Least Common Multiple of Numerators i.e. LCM of 27,12,21,87 is 21924.

GCF of Denominators means GCF of 84,70,78,769 as per the given fractions.

GCF of 84,70,78,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,12,21,87

LCM of Fractions 27/84,12/70,21/78,87/769 is 21924

3 27, 12, 21, 87
9, 4, 7, 29

∴ So the LCM of the given numbers is 3 x 9 x 4 x 7 x 29 = 21924

Least Common Multiple of 27,12,21,87 with GCF Formula

Least Common Multiple of 27,12,21,87 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 27,12,21,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,12,21,87) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(27,12,21,87) x common factors =3 x 9 = 27

LCM(27,12,21,87) = ( 27 × 12 × 21 × 87 ) / 27

LCM(27,12,21,87) = 591948 / 27

LCM(27,12,21,87) = 21924


Lets's calculate GCF of 84,70,78,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21924/1

Therefore the LCM of Fractions 27/84,12/70,21/78,87/769 is 21924

Greatest Common Factor of 84,70,78,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,70,78,769 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 84,70,78,769 . The biggest common factor number is the GCF number.
So the greatest common factor 84,70,78,769 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 27/84, 12/70, 21/78, 87/769

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 27/84, 12/70, 21/78, 87/769?

Answer: LCM of Numerators as per given numbers 27/84, 12/70, 21/78, 87/769 is

LCM of Numerators i.e. for 27,12,21,87 is 21924

GCF of denominators i.e. for 84,70,78,769 is 1.

Thus, LCM of Fractions is 21924.Finally, LCM of Fractions for 27/84, 12/70, 21/78, 87/769 is 21924.