Least Common Multiple of 24/580, 75/165, 156/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/580, 75/165, 156/622 quickly i.e. 7800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/580, 75/165, 156/622 is 7800.

LCM(24/580, 75/165, 156/622) = 7800

LCM of 24/580, 75/165, 156/622

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 24/580,75/165,156/622

Given numbers are 24/580,75/165,156/622

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 24,75,156

Least Common Multiple of Numerators i.e. LCM of 24,75,156 is 7800.

GCF of Denominators means GCF of 580,165,622 as per the given fractions.

GCF of 580,165,622 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,75,156

LCM of Fractions 24/580,75/165,156/622 is 7800

2 24, 75, 156
2 12, 75, 78
3 6, 75, 39
2, 25, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 25 x 13 = 7800

Least Common Multiple of 24,75,156 with GCF Formula

Least Common Multiple of 24,75,156 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 24,75,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,75,156) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(24,75,156) x common factors =3 x 12 = 36

LCM(24,75,156) = ( 24 × 75 × 156 ) / 36

LCM(24,75,156) = 280800 / 36

LCM(24,75,156) = 7800


Lets's calculate GCF of 580,165,622

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7800/1

Therefore the LCM of Fractions 24/580,75/165,156/622 is 7800

Greatest Common Factor of 580,165,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,165,622 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 580,165,622 . The biggest common factor number is the GCF number.
So the greatest common factor 580,165,622 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 24/580, 75/165, 156/622

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 24/580, 75/165, 156/622?

Answer: LCM of Numerators as per given numbers 24/580, 75/165, 156/622 is

LCM of Numerators i.e. for 24,75,156 is 7800

GCF of denominators i.e. for 580,165,622 is 1.

Thus, LCM of Fractions is 7800.Finally, LCM of Fractions for 24/580, 75/165, 156/622 is 7800.