Least Common Multiple of 54/58, 96/65, 75/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/58, 96/65, 75/74 quickly i.e. 21600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/58, 96/65, 75/74 is 21600.

LCM(54/58, 96/65, 75/74) = 21600

LCM of 54/58, 96/65, 75/74

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 54/58,96/65,75/74

Given numbers are 54/58,96/65,75/74

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 54,96,75

Least Common Multiple of Numerators i.e. LCM of 54,96,75 is 21600.

GCF of Denominators means GCF of 58,65,74 as per the given fractions.

GCF of 58,65,74 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,96,75

LCM of Fractions 54/58,96/65,75/74 is 21600

2 54, 96, 75
3 27, 48, 75
9, 16, 25

∴ So the LCM of the given numbers is 2 x 3 x 9 x 16 x 25 = 21600

Least Common Multiple of 54,96,75 with GCF Formula

Least Common Multiple of 54,96,75 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 54,96,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,96,75) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(54,96,75) x common factors =3 x 6 = 18

LCM(54,96,75) = ( 54 × 96 × 75 ) / 18

LCM(54,96,75) = 388800 / 18

LCM(54,96,75) = 21600


Lets's calculate GCF of 58,65,74

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21600/1

Therefore the LCM of Fractions 54/58,96/65,75/74 is 21600

Greatest Common Factor of 58,65,74 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,65,74 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Greatest Common Factor

We found the factors 58,65,74 . The biggest common factor number is the GCF number.
So the greatest common factor 58,65,74 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 54/58, 96/65, 75/74

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 54/58, 96/65, 75/74?

Answer: LCM of Numerators as per given numbers 54/58, 96/65, 75/74 is

LCM of Numerators i.e. for 54,96,75 is 21600

GCF of denominators i.e. for 58,65,74 is 1.

Thus, LCM of Fractions is 21600.Finally, LCM of Fractions for 54/58, 96/65, 75/74 is 21600.