Least Common Multiple of 579/675, 638/651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 579/675, 638/651 quickly i.e. 123134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 579/675, 638/651 is 123134.

LCM(579/675, 638/651) = 123134

LCM of 579/675, 638/651

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 579/675,638/651

Given numbers are 579/675,638/651

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 579,638

Least Common Multiple of Numerators i.e. LCM of 579,638 is 369402.

GCF of Denominators means GCF of 675,651 as per the given fractions.

GCF of 675,651 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 579,638

LCM of Fractions 579/675,638/651 is 123134

Given numbers has no common factors except 1. So, there LCM is their product i.e 369402

Least Common Multiple of 579,638 with GCF Formula

Least Common Multiple of 579,638 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 579,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(579,638) = 1

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

GCF(579,638) x common factors =1 x 1 = 1

LCM(579,638) = ( 579 × 638 ) / 1

LCM(579,638) = 369402 / 1

LCM(579,638) = 369402


Lets's calculate GCF of 675,651

3 675, 651
225, 217

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 369402/3

Therefore the LCM of Fractions 579/675,638/651 is 123134

Greatest Common Factor of 675,651 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,651 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors 675,651 . The biggest common factor number is the GCF number.
So the greatest common factor 675,651 is 3.


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 579/675, 638/651

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 579/675, 638/651?

Answer: LCM of Numerators as per given numbers 579/675, 638/651 is

LCM of Numerators i.e. for 579,638 is 369402

GCF of denominators i.e. for 675,651 is 3.

Thus, LCM of Fractions is 123134.Finally, LCM of Fractions for 579/675, 638/651 is 123134.