Least Common Multiple of 52/191, 253/720, 124/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/191, 253/720, 124/180 quickly i.e. 407836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/191, 253/720, 124/180 is 407836.

LCM(52/191, 253/720, 124/180) = 407836

LCM of 52/191, 253/720, 124/180

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 52/191,253/720,124/180

Given numbers are 52/191,253/720,124/180

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 52,253,124

Least Common Multiple of Numerators i.e. LCM of 52,253,124 is 407836.

GCF of Denominators means GCF of 191,720,180 as per the given fractions.

GCF of 191,720,180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,253,124

LCM of Fractions 52/191,253/720,124/180 is 407836

2 52, 253, 124
2 26, 253, 62
13, 253, 31

∴ So the LCM of the given numbers is 2 x 2 x 13 x 253 x 31 = 407836

Least Common Multiple of 52,253,124 with GCF Formula

Least Common Multiple of 52,253,124 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 52,253,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,253,124) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(52,253,124) x common factors =1 x 4 = 4

LCM(52,253,124) = ( 52 × 253 × 124 ) / 4

LCM(52,253,124) = 1631344 / 4

LCM(52,253,124) = 407836


Lets's calculate GCF of 191,720,180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 407836/1

Therefore the LCM of Fractions 52/191,253/720,124/180 is 407836

Greatest Common Factor of 191,720,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 191,720,180 By Matching Biggest Common Factor Method

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 191,720,180 . The biggest common factor number is the GCF number.
So the greatest common factor 191,720,180 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 52/191, 253/720, 124/180

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 52/191, 253/720, 124/180?

Answer: LCM of Numerators as per given numbers 52/191, 253/720, 124/180 is

LCM of Numerators i.e. for 52,253,124 is 407836

GCF of denominators i.e. for 191,720,180 is 1.

Thus, LCM of Fractions is 407836.Finally, LCM of Fractions for 52/191, 253/720, 124/180 is 407836.