Least Common Multiple of 564/524, 711/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/524, 711/405 quickly i.e. 133668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/524, 711/405 is 133668.

LCM(564/524, 711/405) = 133668

LCM of 564/524, 711/405

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 564/524,711/405

Given numbers are 564/524,711/405

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 564,711

Least Common Multiple of Numerators i.e. LCM of 564,711 is 133668.

GCF of Denominators means GCF of 524,405 as per the given fractions.

GCF of 524,405 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,711

LCM of Fractions 564/524,711/405 is 133668

3 564, 711
188, 237

∴ So the LCM of the given numbers is 3 x 188 x 237 = 133668

Least Common Multiple of 564,711 with GCF Formula

Least Common Multiple of 564,711 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 564,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,711) = 3

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

GCF(564,711) x common factors =3 x 1 = 3

LCM(564,711) = ( 564 × 711 ) / 3

LCM(564,711) = 401004 / 3

LCM(564,711) = 133668


Lets's calculate GCF of 524,405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133668/1

Therefore the LCM of Fractions 564/524,711/405 is 133668

Greatest Common Factor of 524,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,405 By Matching Biggest Common Factor Method

Factors of 524

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

1,2,4,131,262,524

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 524,405 . The biggest common factor number is the GCF number.
So the greatest common factor 524,405 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 564/524, 711/405

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 564/524, 711/405?

Answer: LCM of Numerators as per given numbers 564/524, 711/405 is

LCM of Numerators i.e. for 564,711 is 133668

GCF of denominators i.e. for 524,405 is 1.

Thus, LCM of Fractions is 133668.Finally, LCM of Fractions for 564/524, 711/405 is 133668.