Least Common Multiple of 9408/989, 6099/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9408/989, 6099/868 quickly i.e. 19126464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9408/989, 6099/868 is 19126464.

LCM(9408/989, 6099/868) = 19126464

LCM of 9408/989, 6099/868

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 9408/989,6099/868

Given numbers are 9408/989,6099/868

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 9408,6099

Least Common Multiple of Numerators i.e. LCM of 9408,6099 is 19126464.

GCF of Denominators means GCF of 989,868 as per the given fractions.

GCF of 989,868 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9408,6099

LCM of Fractions 9408/989,6099/868 is 19126464

3 9408, 6099
3136, 2033

∴ So the LCM of the given numbers is 3 x 3136 x 2033 = 19126464

Least Common Multiple of 9408,6099 with GCF Formula

Least Common Multiple of 9408,6099 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 9408,6099 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9408,6099) = 3

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

GCF(9408,6099) x common factors =3 x 1 = 3

LCM(9408,6099) = ( 9408 × 6099 ) / 3

LCM(9408,6099) = 57379392 / 3

LCM(9408,6099) = 19126464


Lets's calculate GCF of 989,868

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19126464/1

Therefore the LCM of Fractions 9408/989,6099/868 is 19126464

Greatest Common Factor of 989,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,868 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 989,868 . The biggest common factor number is the GCF number.
So the greatest common factor 989,868 is 1.


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Frequently Asked Questions on Fractional LCM of 9408/989, 6099/868

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 9408/989, 6099/868?

Answer: LCM of Numerators as per given numbers 9408/989, 6099/868 is

LCM of Numerators i.e. for 9408,6099 is 19126464

GCF of denominators i.e. for 989,868 is 1.

Thus, LCM of Fractions is 19126464.Finally, LCM of Fractions for 9408/989, 6099/868 is 19126464.