Least Common Multiple of 9388/747, 6096/9372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9388/747, 6096/9372 quickly i.e. 4769104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9388/747, 6096/9372 is 4769104.

LCM(9388/747, 6096/9372) = 4769104

LCM of 9388/747, 6096/9372

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 9388/747,6096/9372

Given numbers are 9388/747,6096/9372

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 9388,6096

Least Common Multiple of Numerators i.e. LCM of 9388,6096 is 14307312.

GCF of Denominators means GCF of 747,9372 as per the given fractions.

GCF of 747,9372 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9388,6096

LCM of Fractions 9388/747,6096/9372 is 4769104

2 9388, 6096
2 4694, 3048
2347, 1524

∴ So the LCM of the given numbers is 2 x 2 x 2347 x 1524 = 14307312

Least Common Multiple of 9388,6096 with GCF Formula

Least Common Multiple of 9388,6096 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 9388,6096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9388,6096) = 4

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

GCF(9388,6096) x common factors =4 x 1 = 4

LCM(9388,6096) = ( 9388 × 6096 ) / 4

LCM(9388,6096) = 57229248 / 4

LCM(9388,6096) = 14307312


Lets's calculate GCF of 747,9372

3 747, 9372
249, 3124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14307312/3

Therefore the LCM of Fractions 9388/747,6096/9372 is 4769104

Greatest Common Factor of 747,9372 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,9372 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 9372

List of positive integer factors of 9372 that divides 9372 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,71,132,142,213,284,426,781,852,1562,2343,3124,4686,9372

Greatest Common Factor

We found the factors 747,9372 . The biggest common factor number is the GCF number.
So the greatest common factor 747,9372 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 9388/747, 6096/9372

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 9388/747, 6096/9372?

Answer: LCM of Numerators as per given numbers 9388/747, 6096/9372 is

LCM of Numerators i.e. for 9388,6096 is 14307312

GCF of denominators i.e. for 747,9372 is 3.

Thus, LCM of Fractions is 4769104.Finally, LCM of Fractions for 9388/747, 6096/9372 is 4769104.