Least Common Multiple of 11/564, 979/204, 660/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/564, 979/204, 660/587 quickly i.e. 58740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/564, 979/204, 660/587 is 58740.

LCM(11/564, 979/204, 660/587) = 58740

LCM of 11/564, 979/204, 660/587

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 11/564,979/204,660/587

Given numbers are 11/564,979/204,660/587

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 11,979,660

Least Common Multiple of Numerators i.e. LCM of 11,979,660 is 58740.

GCF of Denominators means GCF of 564,204,587 as per the given fractions.

GCF of 564,204,587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,979,660

LCM of Fractions 11/564,979/204,660/587 is 58740

11 11, 979, 660
1, 89, 60

∴ So the LCM of the given numbers is 11 x 1 x 89 x 60 = 58740

Least Common Multiple of 11,979,660 with GCF Formula

Least Common Multiple of 11,979,660 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 11,979,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,979,660) = 11

common factors(in case of two or more numbers have common factors) = 11

GCF(11,979,660) x common factors =11 x 11 = 121

LCM(11,979,660) = ( 11 × 979 × 660 ) / 121

LCM(11,979,660) = 7107540 / 121

LCM(11,979,660) = 58740


Lets's calculate GCF of 564,204,587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58740/1

Therefore the LCM of Fractions 11/564,979/204,660/587 is 58740

Greatest Common Factor of 564,204,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,204,587 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 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Greatest Common Factor

We found the factors 564,204,587 . The biggest common factor number is the GCF number.
So the greatest common factor 564,204,587 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 11/564, 979/204, 660/587

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 11/564, 979/204, 660/587?

Answer: LCM of Numerators as per given numbers 11/564, 979/204, 660/587 is

LCM of Numerators i.e. for 11,979,660 is 58740

GCF of denominators i.e. for 564,204,587 is 1.

Thus, LCM of Fractions is 58740.Finally, LCM of Fractions for 11/564, 979/204, 660/587 is 58740.