Least Common Multiple of 8853/261, 1532/7125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8853/261, 1532/7125 quickly i.e. 4520932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8853/261, 1532/7125 is 4520932.

LCM(8853/261, 1532/7125) = 4520932

LCM of 8853/261, 1532/7125

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 8853/261,1532/7125

Given numbers are 8853/261,1532/7125

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 8853,1532

Least Common Multiple of Numerators i.e. LCM of 8853,1532 is 13562796.

GCF of Denominators means GCF of 261,7125 as per the given fractions.

GCF of 261,7125 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8853,1532

LCM of Fractions 8853/261,1532/7125 is 4520932

Given numbers has no common factors except 1. So, there LCM is their product i.e 13562796

Least Common Multiple of 8853,1532 with GCF Formula

Least Common Multiple of 8853,1532 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 8853,1532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8853,1532) = 1

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

GCF(8853,1532) x common factors =1 x 1 = 1

LCM(8853,1532) = ( 8853 × 1532 ) / 1

LCM(8853,1532) = 13562796 / 1

LCM(8853,1532) = 13562796


Lets's calculate GCF of 261,7125

3 261, 7125
87, 2375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13562796/3

Therefore the LCM of Fractions 8853/261,1532/7125 is 4520932

Greatest Common Factor of 261,7125 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,7125 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 7125

List of positive integer factors of 7125 that divides 7125 without a remainder.

1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125

Greatest Common Factor

We found the factors 261,7125 . The biggest common factor number is the GCF number.
So the greatest common factor 261,7125 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 8853/261, 1532/7125

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 8853/261, 1532/7125?

Answer: LCM of Numerators as per given numbers 8853/261, 1532/7125 is

LCM of Numerators i.e. for 8853,1532 is 13562796

GCF of denominators i.e. for 261,7125 is 3.

Thus, LCM of Fractions is 4520932.Finally, LCM of Fractions for 8853/261, 1532/7125 is 4520932.