Least Common Multiple of 6735/751, 9267/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6735/751, 9267/728 quickly i.e. 20804415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6735/751, 9267/728 is 20804415.

LCM(6735/751, 9267/728) = 20804415

LCM of 6735/751, 9267/728

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 6735/751,9267/728

Given numbers are 6735/751,9267/728

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 6735,9267

Least Common Multiple of Numerators i.e. LCM of 6735,9267 is 20804415.

GCF of Denominators means GCF of 751,728 as per the given fractions.

GCF of 751,728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6735,9267

LCM of Fractions 6735/751,9267/728 is 20804415

3 6735, 9267
2245, 3089

∴ So the LCM of the given numbers is 3 x 2245 x 3089 = 20804415

Least Common Multiple of 6735,9267 with GCF Formula

Least Common Multiple of 6735,9267 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 6735,9267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6735,9267) = 3

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

GCF(6735,9267) x common factors =3 x 1 = 3

LCM(6735,9267) = ( 6735 × 9267 ) / 3

LCM(6735,9267) = 62413245 / 3

LCM(6735,9267) = 20804415


Lets's calculate GCF of 751,728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20804415/1

Therefore the LCM of Fractions 6735/751,9267/728 is 20804415

Greatest Common Factor of 751,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 751,728 By Matching Biggest Common Factor Method

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 751,728 . The biggest common factor number is the GCF number.
So the greatest common factor 751,728 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 6735/751, 9267/728

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 6735/751, 9267/728?

Answer: LCM of Numerators as per given numbers 6735/751, 9267/728 is

LCM of Numerators i.e. for 6735,9267 is 20804415

GCF of denominators i.e. for 751,728 is 1.

Thus, LCM of Fractions is 20804415.Finally, LCM of Fractions for 6735/751, 9267/728 is 20804415.