Least Common Multiple of 75/16, 54/78, 260/73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/16, 54/78, 260/73 quickly i.e. 35100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/16, 54/78, 260/73 is 35100.

LCM(75/16, 54/78, 260/73) = 35100

LCM of 75/16, 54/78, 260/73

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 75/16,54/78,260/73

Given numbers are 75/16,54/78,260/73

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 75,54,260

Least Common Multiple of Numerators i.e. LCM of 75,54,260 is 35100.

GCF of Denominators means GCF of 16,78,73 as per the given fractions.

GCF of 16,78,73 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,54,260

LCM of Fractions 75/16,54/78,260/73 is 35100

2 75, 54, 260
3 75, 27, 130
5 25, 9, 130
5, 9, 26

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 9 x 26 = 35100

Least Common Multiple of 75,54,260 with GCF Formula

Least Common Multiple of 75,54,260 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 75,54,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,54,260) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(75,54,260) x common factors =1 x 30 = 30

LCM(75,54,260) = ( 75 × 54 × 260 ) / 30

LCM(75,54,260) = 1053000 / 30

LCM(75,54,260) = 35100


Lets's calculate GCF of 16,78,73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35100/1

Therefore the LCM of Fractions 75/16,54/78,260/73 is 35100

Greatest Common Factor of 16,78,73 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,78,73 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Greatest Common Factor

We found the factors 16,78,73 . The biggest common factor number is the GCF number.
So the greatest common factor 16,78,73 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 75/16, 54/78, 260/73

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 75/16, 54/78, 260/73?

Answer: LCM of Numerators as per given numbers 75/16, 54/78, 260/73 is

LCM of Numerators i.e. for 75,54,260 is 35100

GCF of denominators i.e. for 16,78,73 is 1.

Thus, LCM of Fractions is 35100.Finally, LCM of Fractions for 75/16, 54/78, 260/73 is 35100.