Least Common Multiple of 531/459, 844/524, 742/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 531/459, 844/524, 742/655 quickly i.e. 166268844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 531/459, 844/524, 742/655 is 166268844.

LCM(531/459, 844/524, 742/655) = 166268844

LCM of 531/459, 844/524, 742/655

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 531/459,844/524,742/655

Given numbers are 531/459,844/524,742/655

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 531,844,742

Least Common Multiple of Numerators i.e. LCM of 531,844,742 is 166268844.

GCF of Denominators means GCF of 459,524,655 as per the given fractions.

GCF of 459,524,655 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 531,844,742

LCM of Fractions 531/459,844/524,742/655 is 166268844

2 531, 844, 742
531, 422, 371

∴ So the LCM of the given numbers is 2 x 531 x 422 x 371 = 166268844

Least Common Multiple of 531,844,742 with GCF Formula

Least Common Multiple of 531,844,742 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 531,844,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,844,742) = 1

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

GCF(531,844,742) x common factors =1 x 2 = 2

LCM(531,844,742) = ( 531 × 844 × 742 ) / 2

LCM(531,844,742) = 332537688 / 2

LCM(531,844,742) = 166268844


Lets's calculate GCF of 459,524,655

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166268844/1

Therefore the LCM of Fractions 531/459,844/524,742/655 is 166268844

Greatest Common Factor of 459,524,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,524,655 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 459,524,655 . The biggest common factor number is the GCF number.
So the greatest common factor 459,524,655 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 531/459, 844/524, 742/655

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 531/459, 844/524, 742/655?

Answer: LCM of Numerators as per given numbers 531/459, 844/524, 742/655 is

LCM of Numerators i.e. for 531,844,742 is 166268844

GCF of denominators i.e. for 459,524,655 is 1.

Thus, LCM of Fractions is 166268844.Finally, LCM of Fractions for 531/459, 844/524, 742/655 is 166268844.