Least Common Multiple of 75/270, 6886/3813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/270, 6886/3813 quickly i.e. 172150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/270, 6886/3813 is 172150.

LCM(75/270, 6886/3813) = 172150

LCM of 75/270, 6886/3813

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 75/270,6886/3813

Given numbers are 75/270,6886/3813

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 75,6886

Least Common Multiple of Numerators i.e. LCM of 75,6886 is 516450.

GCF of Denominators means GCF of 270,3813 as per the given fractions.

GCF of 270,3813 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,6886

LCM of Fractions 75/270,6886/3813 is 172150

Given numbers has no common factors except 1. So, there LCM is their product i.e 516450

Least Common Multiple of 75,6886 with GCF Formula

Least Common Multiple of 75,6886 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 75,6886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,6886) = 1

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

GCF(75,6886) x common factors =1 x 1 = 1

LCM(75,6886) = ( 75 × 6886 ) / 1

LCM(75,6886) = 516450 / 1

LCM(75,6886) = 516450


Lets's calculate GCF of 270,3813

3 270, 3813
90, 1271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 516450/3

Therefore the LCM of Fractions 75/270,6886/3813 is 172150

Greatest Common Factor of 270,3813 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,3813 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 3813

List of positive integer factors of 3813 that divides 3813 without a remainder.

1,3,31,41,93,123,1271,3813

Greatest Common Factor

We found the factors 270,3813 . The biggest common factor number is the GCF number.
So the greatest common factor 270,3813 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 75/270, 6886/3813

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 75/270, 6886/3813?

Answer: LCM of Numerators as per given numbers 75/270, 6886/3813 is

LCM of Numerators i.e. for 75,6886 is 516450

GCF of denominators i.e. for 270,3813 is 3.

Thus, LCM of Fractions is 172150.Finally, LCM of Fractions for 75/270, 6886/3813 is 172150.