Least Common Multiple of 6870/327, 5701/9364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6870/327, 5701/9364 quickly i.e. 39165870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6870/327, 5701/9364 is 39165870.

LCM(6870/327, 5701/9364) = 39165870

LCM of 6870/327, 5701/9364

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 6870/327,5701/9364

Given numbers are 6870/327,5701/9364

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 6870,5701

Least Common Multiple of Numerators i.e. LCM of 6870,5701 is 39165870.

GCF of Denominators means GCF of 327,9364 as per the given fractions.

GCF of 327,9364 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6870,5701

LCM of Fractions 6870/327,5701/9364 is 39165870

Given numbers has no common factors except 1. So, there LCM is their product i.e 39165870

Least Common Multiple of 6870,5701 with GCF Formula

Least Common Multiple of 6870,5701 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 6870,5701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6870,5701) = 1

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

GCF(6870,5701) x common factors =1 x 1 = 1

LCM(6870,5701) = ( 6870 × 5701 ) / 1

LCM(6870,5701) = 39165870 / 1

LCM(6870,5701) = 39165870


Lets's calculate GCF of 327,9364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39165870/1

Therefore the LCM of Fractions 6870/327,5701/9364 is 39165870

Greatest Common Factor of 327,9364 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,9364 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 9364

List of positive integer factors of 9364 that divides 9364 without a remainder.

1,2,4,2341,4682,9364

Greatest Common Factor

We found the factors 327,9364 . The biggest common factor number is the GCF number.
So the greatest common factor 327,9364 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 6870/327, 5701/9364

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 6870/327, 5701/9364?

Answer: LCM of Numerators as per given numbers 6870/327, 5701/9364 is

LCM of Numerators i.e. for 6870,5701 is 39165870

GCF of denominators i.e. for 327,9364 is 1.

Thus, LCM of Fractions is 39165870.Finally, LCM of Fractions for 6870/327, 5701/9364 is 39165870.