Least Common Multiple of 27/208, 10/563, 876/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/208, 10/563, 876/598 quickly i.e. 39420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/208, 10/563, 876/598 is 39420.

LCM(27/208, 10/563, 876/598) = 39420

LCM of 27/208, 10/563, 876/598

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 27/208,10/563,876/598

Given numbers are 27/208,10/563,876/598

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 27,10,876

Least Common Multiple of Numerators i.e. LCM of 27,10,876 is 39420.

GCF of Denominators means GCF of 208,563,598 as per the given fractions.

GCF of 208,563,598 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,10,876

LCM of Fractions 27/208,10/563,876/598 is 39420

2 27, 10, 876
3 27, 5, 438
9, 5, 146

∴ So the LCM of the given numbers is 2 x 3 x 9 x 5 x 146 = 39420

Least Common Multiple of 27,10,876 with GCF Formula

Least Common Multiple of 27,10,876 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 27,10,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,10,876) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(27,10,876) x common factors =1 x 6 = 6

LCM(27,10,876) = ( 27 × 10 × 876 ) / 6

LCM(27,10,876) = 236520 / 6

LCM(27,10,876) = 39420


Lets's calculate GCF of 208,563,598

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39420/1

Therefore the LCM of Fractions 27/208,10/563,876/598 is 39420

Greatest Common Factor of 208,563,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,563,598 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 208,563,598 . The biggest common factor number is the GCF number.
So the greatest common factor 208,563,598 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 27/208, 10/563, 876/598

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 27/208, 10/563, 876/598?

Answer: LCM of Numerators as per given numbers 27/208, 10/563, 876/598 is

LCM of Numerators i.e. for 27,10,876 is 39420

GCF of denominators i.e. for 208,563,598 is 1.

Thus, LCM of Fractions is 39420.Finally, LCM of Fractions for 27/208, 10/563, 876/598 is 39420.