Least Common Multiple of 8751/345, 6371/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8751/345, 6371/387 quickly i.e. 18584207 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8751/345, 6371/387 is 18584207.

LCM(8751/345, 6371/387) = 18584207

LCM of 8751/345, 6371/387

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 8751/345,6371/387

Given numbers are 8751/345,6371/387

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 8751,6371

Least Common Multiple of Numerators i.e. LCM of 8751,6371 is 55752621.

GCF of Denominators means GCF of 345,387 as per the given fractions.

GCF of 345,387 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8751,6371

LCM of Fractions 8751/345,6371/387 is 18584207

Given numbers has no common factors except 1. So, there LCM is their product i.e 55752621

Least Common Multiple of 8751,6371 with GCF Formula

Least Common Multiple of 8751,6371 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 8751,6371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8751,6371) = 1

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

GCF(8751,6371) x common factors =1 x 1 = 1

LCM(8751,6371) = ( 8751 × 6371 ) / 1

LCM(8751,6371) = 55752621 / 1

LCM(8751,6371) = 55752621


Lets's calculate GCF of 345,387

3 345, 387
115, 129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55752621/3

Therefore the LCM of Fractions 8751/345,6371/387 is 18584207

Greatest Common Factor of 345,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,387 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 345,387 . The biggest common factor number is the GCF number.
So the greatest common factor 345,387 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 8751/345, 6371/387

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 8751/345, 6371/387?

Answer: LCM of Numerators as per given numbers 8751/345, 6371/387 is

LCM of Numerators i.e. for 8751,6371 is 55752621

GCF of denominators i.e. for 345,387 is 3.

Thus, LCM of Fractions is 18584207.Finally, LCM of Fractions for 8751/345, 6371/387 is 18584207.