Least Common Multiple of 478/50, 159/90, 130/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 478/50, 159/90, 130/540 quickly i.e. 494013 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/50, 159/90, 130/540 is 494013.

LCM(478/50, 159/90, 130/540) = 494013

LCM of 478/50, 159/90, 130/540

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 478/50,159/90,130/540

Given numbers are 478/50,159/90,130/540

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 478,159,130

Least Common Multiple of Numerators i.e. LCM of 478,159,130 is 4940130.

GCF of Denominators means GCF of 50,90,540 as per the given fractions.

GCF of 50,90,540 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,159,130

LCM of Fractions 478/50,159/90,130/540 is 494013

2 478, 159, 130
239, 159, 65

∴ So the LCM of the given numbers is 2 x 239 x 159 x 65 = 4940130

Least Common Multiple of 478,159,130 with GCF Formula

Least Common Multiple of 478,159,130 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 478,159,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,159,130) = 1

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

GCF(478,159,130) x common factors =1 x 2 = 2

LCM(478,159,130) = ( 478 × 159 × 130 ) / 2

LCM(478,159,130) = 9880260 / 2

LCM(478,159,130) = 4940130


Lets's calculate GCF of 50,90,540

2 50, 90, 540
5 25, 45, 270
5, 9, 54

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4940130/10

Therefore the LCM of Fractions 478/50,159/90,130/540 is 494013

Greatest Common Factor of 50,90,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,90,540 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

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 50,90,540 . The biggest common factor number is the GCF number.
So the greatest common factor 50,90,540 is 10.


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 478/50, 159/90, 130/540

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 478/50, 159/90, 130/540?

Answer: LCM of Numerators as per given numbers 478/50, 159/90, 130/540 is

LCM of Numerators i.e. for 478,159,130 is 4940130

GCF of denominators i.e. for 50,90,540 is 10.

Thus, LCM of Fractions is 494013.Finally, LCM of Fractions for 478/50, 159/90, 130/540 is 494013.