Least Common Multiple of 7305/54, 2322/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7305/54, 2322/393 quickly i.e. 1884690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7305/54, 2322/393 is 1884690.

LCM(7305/54, 2322/393) = 1884690

LCM of 7305/54, 2322/393

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 7305/54,2322/393

Given numbers are 7305/54,2322/393

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 7305,2322

Least Common Multiple of Numerators i.e. LCM of 7305,2322 is 5654070.

GCF of Denominators means GCF of 54,393 as per the given fractions.

GCF of 54,393 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7305,2322

LCM of Fractions 7305/54,2322/393 is 1884690

3 7305, 2322
2435, 774

∴ So the LCM of the given numbers is 3 x 2435 x 774 = 5654070

Least Common Multiple of 7305,2322 with GCF Formula

Least Common Multiple of 7305,2322 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 7305,2322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7305,2322) = 3

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

GCF(7305,2322) x common factors =3 x 1 = 3

LCM(7305,2322) = ( 7305 × 2322 ) / 3

LCM(7305,2322) = 16962210 / 3

LCM(7305,2322) = 5654070


Lets's calculate GCF of 54,393

3 54, 393
18, 131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5654070/3

Therefore the LCM of Fractions 7305/54,2322/393 is 1884690

Greatest Common Factor of 54,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,393 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Greatest Common Factor

We found the factors 54,393 . The biggest common factor number is the GCF number.
So the greatest common factor 54,393 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 7305/54, 2322/393

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 7305/54, 2322/393?

Answer: LCM of Numerators as per given numbers 7305/54, 2322/393 is

LCM of Numerators i.e. for 7305,2322 is 5654070

GCF of denominators i.e. for 54,393 is 3.

Thus, LCM of Fractions is 1884690.Finally, LCM of Fractions for 7305/54, 2322/393 is 1884690.