Least Common Multiple of 9135/75, 7218/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9135/75, 7218/273 quickly i.e. 2442090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9135/75, 7218/273 is 2442090.

LCM(9135/75, 7218/273) = 2442090

LCM of 9135/75, 7218/273

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 9135/75,7218/273

Given numbers are 9135/75,7218/273

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 9135,7218

Least Common Multiple of Numerators i.e. LCM of 9135,7218 is 7326270.

GCF of Denominators means GCF of 75,273 as per the given fractions.

GCF of 75,273 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9135,7218

LCM of Fractions 9135/75,7218/273 is 2442090

3 9135, 7218
3 3045, 2406
1015, 802

∴ So the LCM of the given numbers is 3 x 3 x 1015 x 802 = 7326270

Least Common Multiple of 9135,7218 with GCF Formula

Least Common Multiple of 9135,7218 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 9135,7218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9135,7218) = 9

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

GCF(9135,7218) x common factors =9 x 1 = 9

LCM(9135,7218) = ( 9135 × 7218 ) / 9

LCM(9135,7218) = 65936430 / 9

LCM(9135,7218) = 7326270


Lets's calculate GCF of 75,273

3 75, 273
25, 91

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7326270/3

Therefore the LCM of Fractions 9135/75,7218/273 is 2442090

Greatest Common Factor of 75,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,273 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 75,273 . The biggest common factor number is the GCF number.
So the greatest common factor 75,273 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 9135/75, 7218/273

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 9135/75, 7218/273?

Answer: LCM of Numerators as per given numbers 9135/75, 7218/273 is

LCM of Numerators i.e. for 9135,7218 is 7326270

GCF of denominators i.e. for 75,273 is 3.

Thus, LCM of Fractions is 2442090.Finally, LCM of Fractions for 9135/75, 7218/273 is 2442090.