Least Common Multiple of 13/902, 76/639, 406/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/902, 76/639, 406/540 quickly i.e. 200564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/902, 76/639, 406/540 is 200564.

LCM(13/902, 76/639, 406/540) = 200564

LCM of 13/902, 76/639, 406/540

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 13/902,76/639,406/540

Given numbers are 13/902,76/639,406/540

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 13,76,406

Least Common Multiple of Numerators i.e. LCM of 13,76,406 is 200564.

GCF of Denominators means GCF of 902,639,540 as per the given fractions.

GCF of 902,639,540 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,76,406

LCM of Fractions 13/902,76/639,406/540 is 200564

2 13, 76, 406
13, 38, 203

∴ So the LCM of the given numbers is 2 x 13 x 38 x 203 = 200564

Least Common Multiple of 13,76,406 with GCF Formula

Least Common Multiple of 13,76,406 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 13,76,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,76,406) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(13,76,406) x common factors =1 x 2 = 2

LCM(13,76,406) = ( 13 × 76 × 406 ) / 2

LCM(13,76,406) = 401128 / 2

LCM(13,76,406) = 200564


Lets's calculate GCF of 902,639,540

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200564/1

Therefore the LCM of Fractions 13/902,76/639,406/540 is 200564

Greatest Common Factor of 902,639,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,639,540 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 902,639,540 . The biggest common factor number is the GCF number.
So the greatest common factor 902,639,540 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 13/902, 76/639, 406/540

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 13/902, 76/639, 406/540?

Answer: LCM of Numerators as per given numbers 13/902, 76/639, 406/540 is

LCM of Numerators i.e. for 13,76,406 is 200564

GCF of denominators i.e. for 902,639,540 is 1.

Thus, LCM of Fractions is 200564.Finally, LCM of Fractions for 13/902, 76/639, 406/540 is 200564.