Least Common Multiple of 52/539, 909/434, 251/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/539, 909/434, 251/172 quickly i.e. 11864268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/539, 909/434, 251/172 is 11864268.

LCM(52/539, 909/434, 251/172) = 11864268

LCM of 52/539, 909/434, 251/172

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 52/539,909/434,251/172

Given numbers are 52/539,909/434,251/172

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 52,909,251

Least Common Multiple of Numerators i.e. LCM of 52,909,251 is 11864268.

GCF of Denominators means GCF of 539,434,172 as per the given fractions.

GCF of 539,434,172 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,909,251

LCM of Fractions 52/539,909/434,251/172 is 11864268

Given numbers has no common factors except 1. So, there LCM is their product i.e 11864268

Least Common Multiple of 52,909,251 with GCF Formula

Least Common Multiple of 52,909,251 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 52,909,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,909,251) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(52,909,251) x common factors =1 x 1 = 1

LCM(52,909,251) = ( 52 × 909 × 251 ) / 1

LCM(52,909,251) = 11864268 / 1

LCM(52,909,251) = 11864268


Lets's calculate GCF of 539,434,172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11864268/1

Therefore the LCM of Fractions 52/539,909/434,251/172 is 11864268

Greatest Common Factor of 539,434,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,434,172 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 539,434,172 . The biggest common factor number is the GCF number.
So the greatest common factor 539,434,172 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 52/539, 909/434, 251/172

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 52/539, 909/434, 251/172?

Answer: LCM of Numerators as per given numbers 52/539, 909/434, 251/172 is

LCM of Numerators i.e. for 52,909,251 is 11864268

GCF of denominators i.e. for 539,434,172 is 1.

Thus, LCM of Fractions is 11864268.Finally, LCM of Fractions for 52/539, 909/434, 251/172 is 11864268.