Least Common Multiple of 25/135, 24/239, 461/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/135, 24/239, 461/568 quickly i.e. 276600 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, 24/239, 461/568 is 276600.

LCM(25/135, 24/239, 461/568) = 276600

LCM of 25/135, 24/239, 461/568

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 25/135,24/239,461/568

Given numbers are 25/135,24/239,461/568

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 25,24,461

Least Common Multiple of Numerators i.e. LCM of 25,24,461 is 276600.

GCF of Denominators means GCF of 135,239,568 as per the given fractions.

GCF of 135,239,568 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,24,461

LCM of Fractions 25/135,24/239,461/568 is 276600

Given numbers has no common factors except 1. So, there LCM is their product i.e 276600

Least Common Multiple of 25,24,461 with GCF Formula

Least Common Multiple of 25,24,461 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 25,24,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,24,461) = 1

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

GCF(25,24,461) x common factors =1 x 1 = 1

LCM(25,24,461) = ( 25 × 24 × 461 ) / 1

LCM(25,24,461) = 276600 / 1

LCM(25,24,461) = 276600


Lets's calculate GCF of 135,239,568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276600/1

Therefore the LCM of Fractions 25/135,24/239,461/568 is 276600

Greatest Common Factor of 135,239,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,239,568 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 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 135,239,568 . The biggest common factor number is the GCF number.
So the greatest common factor 135,239,568 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, 24/239, 461/568

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, 24/239, 461/568?

Answer: LCM of Numerators as per given numbers 25/135, 24/239, 461/568 is

LCM of Numerators i.e. for 25,24,461 is 276600

GCF of denominators i.e. for 135,239,568 is 1.

Thus, LCM of Fractions is 276600.Finally, LCM of Fractions for 25/135, 24/239, 461/568 is 276600.