Least Common Multiple of 9369/240, 7383/7268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9369/240, 7383/7268 quickly i.e. 23057109/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9369/240, 7383/7268 is 23057109/4.

LCM(9369/240, 7383/7268) = 23057109/4

LCM of 9369/240, 7383/7268

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 9369/240,7383/7268

Given numbers are 9369/240,7383/7268

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 9369,7383

Least Common Multiple of Numerators i.e. LCM of 9369,7383 is 23057109.

GCF of Denominators means GCF of 240,7268 as per the given fractions.

GCF of 240,7268 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9369,7383

LCM of Fractions 9369/240,7383/7268 is 23057109/4

3 9369, 7383
3123, 2461

∴ So the LCM of the given numbers is 3 x 3123 x 2461 = 23057109

Least Common Multiple of 9369,7383 with GCF Formula

Least Common Multiple of 9369,7383 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 9369,7383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9369,7383) = 3

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

GCF(9369,7383) x common factors =3 x 1 = 3

LCM(9369,7383) = ( 9369 × 7383 ) / 3

LCM(9369,7383) = 69171327 / 3

LCM(9369,7383) = 23057109


Lets's calculate GCF of 240,7268

2 240, 7268
2 120, 3634
60, 1817

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23057109/4

Therefore the LCM of Fractions 9369/240,7383/7268 is 23057109/4

Greatest Common Factor of 240,7268 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,7268 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 7268

List of positive integer factors of 7268 that divides 7268 without a remainder.

1,2,4,23,46,79,92,158,316,1817,3634,7268

Greatest Common Factor

We found the factors 240,7268 . The biggest common factor number is the GCF number.
So the greatest common factor 240,7268 is 4.


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 9369/240, 7383/7268

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 9369/240, 7383/7268?

Answer: LCM of Numerators as per given numbers 9369/240, 7383/7268 is

LCM of Numerators i.e. for 9369,7383 is 23057109

GCF of denominators i.e. for 240,7268 is 4.

Thus, LCM of Fractions is 23057109/4.Finally, LCM of Fractions for 9369/240, 7383/7268 is 23057109/4.