Least Common Multiple of 25/135, 971/22, 538/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/135, 971/22, 538/512 quickly i.e. 13059950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/135, 971/22, 538/512 is 13059950.

LCM(25/135, 971/22, 538/512) = 13059950

LCM of 25/135, 971/22, 538/512

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 25/135,971/22,538/512

Given numbers are 25/135,971/22,538/512

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 25,971,538

Least Common Multiple of Numerators i.e. LCM of 25,971,538 is 13059950.

GCF of Denominators means GCF of 135,22,512 as per the given fractions.

GCF of 135,22,512 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,971,538

LCM of Fractions 25/135,971/22,538/512 is 13059950

Given numbers has no common factors except 1. So, there LCM is their product i.e 13059950

Least Common Multiple of 25,971,538 with GCF Formula

Least Common Multiple of 25,971,538 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 25,971,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,971,538) = 1

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

GCF(25,971,538) x common factors =1 x 1 = 1

LCM(25,971,538) = ( 25 × 971 × 538 ) / 1

LCM(25,971,538) = 13059950 / 1

LCM(25,971,538) = 13059950


Lets's calculate GCF of 135,22,512

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13059950/1

Therefore the LCM of Fractions 25/135,971/22,538/512 is 13059950

Greatest Common Factor of 135,22,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,22,512 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 135,22,512 . The biggest common factor number is the GCF number.
So the greatest common factor 135,22,512 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 25/135, 971/22, 538/512

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 25/135, 971/22, 538/512?

Answer: LCM of Numerators as per given numbers 25/135, 971/22, 538/512 is

LCM of Numerators i.e. for 25,971,538 is 13059950

GCF of denominators i.e. for 135,22,512 is 1.

Thus, LCM of Fractions is 13059950.Finally, LCM of Fractions for 25/135, 971/22, 538/512 is 13059950.