Least Common Multiple of 54/76, 21/15, 45/96, 40/393

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/76, 21/15, 45/96, 40/393 quickly i.e. 7560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/76, 21/15, 45/96, 40/393 is 7560.

LCM(54/76, 21/15, 45/96, 40/393) = 7560

LCM of 54/76, 21/15, 45/96, 40/393

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 54/76,21/15,45/96,40/393

Given numbers are 54/76,21/15,45/96,40/393

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 54,21,45,40

Least Common Multiple of Numerators i.e. LCM of 54,21,45,40 is 7560.

GCF of Denominators means GCF of 76,15,96,393 as per the given fractions.

GCF of 76,15,96,393 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,21,45,40

LCM of Fractions 54/76,21/15,45/96,40/393 is 7560

2 54, 21, 45, 40
3 27, 21, 45, 20
3 9, 7, 15, 20
5 3, 7, 5, 20
3, 7, 1, 4

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 3 x 7 x 1 x 4 = 7560

Least Common Multiple of 54,21,45,40 with GCF Formula

Least Common Multiple of 54,21,45,40 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 54,21,45,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,21,45,40) = 1

common factors(in case of two or more numbers have common factors) = 270

GCF(54,21,45,40) x common factors =1 x 270 = 270

LCM(54,21,45,40) = ( 54 × 21 × 45 × 40 ) / 270

LCM(54,21,45,40) = 2041200 / 270

LCM(54,21,45,40) = 7560


Lets's calculate GCF of 76,15,96,393

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7560/1

Therefore the LCM of Fractions 54/76,21/15,45/96,40/393 is 7560

Greatest Common Factor of 76,15,96,393 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,15,96,393 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

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 76,15,96,393 . The biggest common factor number is the GCF number.
So the greatest common factor 76,15,96,393 is 1.


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 54/76, 21/15, 45/96, 40/393

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 54/76, 21/15, 45/96, 40/393?

Answer: LCM of Numerators as per given numbers 54/76, 21/15, 45/96, 40/393 is

LCM of Numerators i.e. for 54,21,45,40 is 7560

GCF of denominators i.e. for 76,15,96,393 is 1.

Thus, LCM of Fractions is 7560.Finally, LCM of Fractions for 54/76, 21/15, 45/96, 40/393 is 7560.