Least Common Multiple of 12/124, 759/587, 552/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/124, 759/587, 552/568 quickly i.e. 6072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/124, 759/587, 552/568 is 6072.

LCM(12/124, 759/587, 552/568) = 6072

LCM of 12/124, 759/587, 552/568

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 12/124,759/587,552/568

Given numbers are 12/124,759/587,552/568

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 12,759,552

Least Common Multiple of Numerators i.e. LCM of 12,759,552 is 6072.

GCF of Denominators means GCF of 124,587,568 as per the given fractions.

GCF of 124,587,568 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,759,552

LCM of Fractions 12/124,759/587,552/568 is 6072

2 12, 759, 552
2 6, 759, 276
3 3, 759, 138
23 1, 253, 46
1, 11, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 1 x 11 x 2 = 6072

Least Common Multiple of 12,759,552 with GCF Formula

Least Common Multiple of 12,759,552 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 12,759,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,759,552) = 3

common factors(in case of two or more numbers have common factors) = 276

GCF(12,759,552) x common factors =3 x 276 = 828

LCM(12,759,552) = ( 12 × 759 × 552 ) / 828

LCM(12,759,552) = 5027616 / 828

LCM(12,759,552) = 6072


Lets's calculate GCF of 124,587,568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6072/1

Therefore the LCM of Fractions 12/124,759/587,552/568 is 6072

Greatest Common Factor of 124,587,568 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,587,568 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Greatest Common Factor

We found the factors 124,587,568 . The biggest common factor number is the GCF number.
So the greatest common factor 124,587,568 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 12/124, 759/587, 552/568

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 12/124, 759/587, 552/568?

Answer: LCM of Numerators as per given numbers 12/124, 759/587, 552/568 is

LCM of Numerators i.e. for 12,759,552 is 6072

GCF of denominators i.e. for 124,587,568 is 1.

Thus, LCM of Fractions is 6072.Finally, LCM of Fractions for 12/124, 759/587, 552/568 is 6072.