Least Common Multiple of 8009/117, 6822/8578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8009/117, 6822/8578 quickly i.e. 54637398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8009/117, 6822/8578 is 54637398.

LCM(8009/117, 6822/8578) = 54637398

LCM of 8009/117, 6822/8578

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 8009/117,6822/8578

Given numbers are 8009/117,6822/8578

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 8009,6822

Least Common Multiple of Numerators i.e. LCM of 8009,6822 is 54637398.

GCF of Denominators means GCF of 117,8578 as per the given fractions.

GCF of 117,8578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8009,6822

LCM of Fractions 8009/117,6822/8578 is 54637398

Given numbers has no common factors except 1. So, there LCM is their product i.e 54637398

Least Common Multiple of 8009,6822 with GCF Formula

Least Common Multiple of 8009,6822 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 8009,6822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8009,6822) = 1

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

GCF(8009,6822) x common factors =1 x 1 = 1

LCM(8009,6822) = ( 8009 × 6822 ) / 1

LCM(8009,6822) = 54637398 / 1

LCM(8009,6822) = 54637398


Lets's calculate GCF of 117,8578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54637398/1

Therefore the LCM of Fractions 8009/117,6822/8578 is 54637398

Greatest Common Factor of 117,8578 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,8578 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 8578

List of positive integer factors of 8578 that divides 8578 without a remainder.

1,2,4289,8578

Greatest Common Factor

We found the factors 117,8578 . The biggest common factor number is the GCF number.
So the greatest common factor 117,8578 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 8009/117, 6822/8578

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 8009/117, 6822/8578?

Answer: LCM of Numerators as per given numbers 8009/117, 6822/8578 is

LCM of Numerators i.e. for 8009,6822 is 54637398

GCF of denominators i.e. for 117,8578 is 1.

Thus, LCM of Fractions is 54637398.Finally, LCM of Fractions for 8009/117, 6822/8578 is 54637398.