Least Common Multiple of 37/75, 40/41, 24/52, 90/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/75, 40/41, 24/52, 90/563 quickly i.e. 13320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/75, 40/41, 24/52, 90/563 is 13320.

LCM(37/75, 40/41, 24/52, 90/563) = 13320

LCM of 37/75, 40/41, 24/52, 90/563

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 37/75,40/41,24/52,90/563

Given numbers are 37/75,40/41,24/52,90/563

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 37,40,24,90

Least Common Multiple of Numerators i.e. LCM of 37,40,24,90 is 13320.

GCF of Denominators means GCF of 75,41,52,563 as per the given fractions.

GCF of 75,41,52,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,40,24,90

LCM of Fractions 37/75,40/41,24/52,90/563 is 13320

2 37, 40, 24, 90
2 37, 20, 12, 45
2 37, 10, 6, 45
3 37, 5, 3, 45
5 37, 5, 1, 15
37, 1, 1, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 37 x 1 x 1 x 3 = 13320

Least Common Multiple of 37,40,24,90 with GCF Formula

Least Common Multiple of 37,40,24,90 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 37,40,24,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,40,24,90) = 1

common factors(in case of two or more numbers have common factors) = 240

GCF(37,40,24,90) x common factors =1 x 240 = 240

LCM(37,40,24,90) = ( 37 × 40 × 24 × 90 ) / 240

LCM(37,40,24,90) = 3196800 / 240

LCM(37,40,24,90) = 13320


Lets's calculate GCF of 75,41,52,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13320/1

Therefore the LCM of Fractions 37/75,40/41,24/52,90/563 is 13320

Greatest Common Factor of 75,41,52,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,41,52,563 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 75,41,52,563 . The biggest common factor number is the GCF number.
So the greatest common factor 75,41,52,563 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 37/75, 40/41, 24/52, 90/563

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 37/75, 40/41, 24/52, 90/563?

Answer: LCM of Numerators as per given numbers 37/75, 40/41, 24/52, 90/563 is

LCM of Numerators i.e. for 37,40,24,90 is 13320

GCF of denominators i.e. for 75,41,52,563 is 1.

Thus, LCM of Fractions is 13320.Finally, LCM of Fractions for 37/75, 40/41, 24/52, 90/563 is 13320.