Least Common Multiple of 412/270, 8029/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/270, 8029/867 quickly i.e. 3307948/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/270, 8029/867 is 3307948/3.

LCM(412/270, 8029/867) = 3307948/3

LCM of 412/270, 8029/867

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 412/270,8029/867

Given numbers are 412/270,8029/867

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 412,8029

Least Common Multiple of Numerators i.e. LCM of 412,8029 is 3307948.

GCF of Denominators means GCF of 270,867 as per the given fractions.

GCF of 270,867 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,8029

LCM of Fractions 412/270,8029/867 is 3307948/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 3307948

Least Common Multiple of 412,8029 with GCF Formula

Least Common Multiple of 412,8029 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 412,8029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,8029) = 1

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

GCF(412,8029) x common factors =1 x 1 = 1

LCM(412,8029) = ( 412 × 8029 ) / 1

LCM(412,8029) = 3307948 / 1

LCM(412,8029) = 3307948


Lets's calculate GCF of 270,867

3 270, 867
90, 289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3307948/3

Therefore the LCM of Fractions 412/270,8029/867 is 3307948/3

Greatest Common Factor of 270,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,867 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 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 270,867 . The biggest common factor number is the GCF number.
So the greatest common factor 270,867 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 412/270, 8029/867

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 412/270, 8029/867?

Answer: LCM of Numerators as per given numbers 412/270, 8029/867 is

LCM of Numerators i.e. for 412,8029 is 3307948

GCF of denominators i.e. for 270,867 is 3.

Thus, LCM of Fractions is 3307948/3.Finally, LCM of Fractions for 412/270, 8029/867 is 3307948/3.