Least Common Multiple of 2/564, 27/978, 87/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2/564, 27/978, 87/936 quickly i.e. 261 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/564, 27/978, 87/936 is 261.

LCM(2/564, 27/978, 87/936) = 261

LCM of 2/564, 27/978, 87/936

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 2/564,27/978,87/936

Given numbers are 2/564,27/978,87/936

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 2,27,87

Least Common Multiple of Numerators i.e. LCM of 2,27,87 is 1566.

GCF of Denominators means GCF of 564,978,936 as per the given fractions.

GCF of 564,978,936 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,27,87

LCM of Fractions 2/564,27/978,87/936 is 261

3 2, 27, 87
2, 9, 29

∴ So the LCM of the given numbers is 3 x 2 x 9 x 29 = 1566

Least Common Multiple of 2,27,87 with GCF Formula

Least Common Multiple of 2,27,87 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 2,27,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,27,87) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(2,27,87) x common factors =1 x 3 = 3

LCM(2,27,87) = ( 2 × 27 × 87 ) / 3

LCM(2,27,87) = 4698 / 3

LCM(2,27,87) = 1566


Lets's calculate GCF of 564,978,936

2 564, 978, 936
3 282, 489, 468
94, 163, 156

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1566/6

Therefore the LCM of Fractions 2/564,27/978,87/936 is 261

Greatest Common Factor of 564,978,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,978,936 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 564,978,936 . The biggest common factor number is the GCF number.
So the greatest common factor 564,978,936 is 6.


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 2/564, 27/978, 87/936

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 2/564, 27/978, 87/936?

Answer: LCM of Numerators as per given numbers 2/564, 27/978, 87/936 is

LCM of Numerators i.e. for 2,27,87 is 1566

GCF of denominators i.e. for 564,978,936 is 6.

Thus, LCM of Fractions is 261.Finally, LCM of Fractions for 2/564, 27/978, 87/936 is 261.