Least Common Multiple of 75/852, 1629/6579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/852, 1629/6579 quickly i.e. 13575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/852, 1629/6579 is 13575.

LCM(75/852, 1629/6579) = 13575

LCM of 75/852, 1629/6579

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 75/852,1629/6579

Given numbers are 75/852,1629/6579

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 75,1629

Least Common Multiple of Numerators i.e. LCM of 75,1629 is 40725.

GCF of Denominators means GCF of 852,6579 as per the given fractions.

GCF of 852,6579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,1629

LCM of Fractions 75/852,1629/6579 is 13575

3 75, 1629
25, 543

∴ So the LCM of the given numbers is 3 x 25 x 543 = 40725

Least Common Multiple of 75,1629 with GCF Formula

Least Common Multiple of 75,1629 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 75,1629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,1629) = 3

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

GCF(75,1629) x common factors =3 x 1 = 3

LCM(75,1629) = ( 75 × 1629 ) / 3

LCM(75,1629) = 122175 / 3

LCM(75,1629) = 40725


Lets's calculate GCF of 852,6579

3 852, 6579
284, 2193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40725/3

Therefore the LCM of Fractions 75/852,1629/6579 is 13575

Greatest Common Factor of 852,6579 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,6579 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 6579

List of positive integer factors of 6579 that divides 6579 without a remainder.

1,3,9,17,43,51,129,153,387,731,2193,6579

Greatest Common Factor

We found the factors 852,6579 . The biggest common factor number is the GCF number.
So the greatest common factor 852,6579 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 75/852, 1629/6579

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 75/852, 1629/6579?

Answer: LCM of Numerators as per given numbers 75/852, 1629/6579 is

LCM of Numerators i.e. for 75,1629 is 40725

GCF of denominators i.e. for 852,6579 is 3.

Thus, LCM of Fractions is 13575.Finally, LCM of Fractions for 75/852, 1629/6579 is 13575.