Least Common Multiple of 524/150, 476/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 524/150, 476/565 quickly i.e. 62356/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 524/150, 476/565 is 62356/5.

LCM(524/150, 476/565) = 62356/5

LCM of 524/150, 476/565

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 524/150,476/565

Given numbers are 524/150,476/565

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 524,476

Least Common Multiple of Numerators i.e. LCM of 524,476 is 62356.

GCF of Denominators means GCF of 150,565 as per the given fractions.

GCF of 150,565 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 524,476

LCM of Fractions 524/150,476/565 is 62356/5

2 524, 476
2 262, 238
131, 119

∴ So the LCM of the given numbers is 2 x 2 x 131 x 119 = 62356

Least Common Multiple of 524,476 with GCF Formula

Least Common Multiple of 524,476 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 524,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,476) = 4

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

GCF(524,476) x common factors =4 x 1 = 4

LCM(524,476) = ( 524 × 476 ) / 4

LCM(524,476) = 249424 / 4

LCM(524,476) = 62356


Lets's calculate GCF of 150,565

5 150, 565
30, 113

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62356/5

Therefore the LCM of Fractions 524/150,476/565 is 62356/5

Greatest Common Factor of 150,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,565 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 150,565 . The biggest common factor number is the GCF number.
So the greatest common factor 150,565 is 5.


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 524/150, 476/565

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 524/150, 476/565?

Answer: LCM of Numerators as per given numbers 524/150, 476/565 is

LCM of Numerators i.e. for 524,476 is 62356

GCF of denominators i.e. for 150,565 is 5.

Thus, LCM of Fractions is 62356/5.Finally, LCM of Fractions for 524/150, 476/565 is 62356/5.