Least Common Multiple of 4089/362, 7008/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4089/362, 7008/867 quickly i.e. 9551904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4089/362, 7008/867 is 9551904.

LCM(4089/362, 7008/867) = 9551904

LCM of 4089/362, 7008/867

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 4089/362,7008/867

Given numbers are 4089/362,7008/867

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 4089,7008

Least Common Multiple of Numerators i.e. LCM of 4089,7008 is 9551904.

GCF of Denominators means GCF of 362,867 as per the given fractions.

GCF of 362,867 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4089,7008

LCM of Fractions 4089/362,7008/867 is 9551904

3 4089, 7008
1363, 2336

∴ So the LCM of the given numbers is 3 x 1363 x 2336 = 9551904

Least Common Multiple of 4089,7008 with GCF Formula

Least Common Multiple of 4089,7008 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 4089,7008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4089,7008) = 3

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

GCF(4089,7008) x common factors =3 x 1 = 3

LCM(4089,7008) = ( 4089 × 7008 ) / 3

LCM(4089,7008) = 28655712 / 3

LCM(4089,7008) = 9551904


Lets's calculate GCF of 362,867

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9551904/1

Therefore the LCM of Fractions 4089/362,7008/867 is 9551904

Greatest Common Factor of 362,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 362,867 By Matching Biggest Common Factor Method

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

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 362,867 . The biggest common factor number is the GCF number.
So the greatest common factor 362,867 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 4089/362, 7008/867

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 4089/362, 7008/867?

Answer: LCM of Numerators as per given numbers 4089/362, 7008/867 is

LCM of Numerators i.e. for 4089,7008 is 9551904

GCF of denominators i.e. for 362,867 is 1.

Thus, LCM of Fractions is 9551904.Finally, LCM of Fractions for 4089/362, 7008/867 is 9551904.