Least Common Multiple of 51/9, 728/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/9, 728/75 quickly i.e. 12376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/9, 728/75 is 12376.

LCM(51/9, 728/75) = 12376

LCM of 51/9, 728/75

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 51/9,728/75

Given numbers are 51/9,728/75

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 51,728

Least Common Multiple of Numerators i.e. LCM of 51,728 is 37128.

GCF of Denominators means GCF of 9,75 as per the given fractions.

GCF of 9,75 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,728

LCM of Fractions 51/9,728/75 is 12376

Given numbers has no common factors except 1. So, there LCM is their product i.e 37128

Least Common Multiple of 51,728 with GCF Formula

Least Common Multiple of 51,728 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 51,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,728) = 1

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

GCF(51,728) x common factors =1 x 1 = 1

LCM(51,728) = ( 51 × 728 ) / 1

LCM(51,728) = 37128 / 1

LCM(51,728) = 37128


Lets's calculate GCF of 9,75

3 9, 75
3, 25

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37128/3

Therefore the LCM of Fractions 51/9,728/75 is 12376

Greatest Common Factor of 9,75 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,75 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 75

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

1,3,5,15,25,75

Greatest Common Factor

We found the factors 9,75 . The biggest common factor number is the GCF number.
So the greatest common factor 9,75 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 51/9, 728/75

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 51/9, 728/75?

Answer: LCM of Numerators as per given numbers 51/9, 728/75 is

LCM of Numerators i.e. for 51,728 is 37128

GCF of denominators i.e. for 9,75 is 3.

Thus, LCM of Fractions is 12376.Finally, LCM of Fractions for 51/9, 728/75 is 12376.