Least Common Multiple of 5461/459, 7872/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5461/459, 7872/753 quickly i.e. 14329664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5461/459, 7872/753 is 14329664.

LCM(5461/459, 7872/753) = 14329664

LCM of 5461/459, 7872/753

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 5461/459,7872/753

Given numbers are 5461/459,7872/753

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 5461,7872

Least Common Multiple of Numerators i.e. LCM of 5461,7872 is 42988992.

GCF of Denominators means GCF of 459,753 as per the given fractions.

GCF of 459,753 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5461,7872

LCM of Fractions 5461/459,7872/753 is 14329664

Given numbers has no common factors except 1. So, there LCM is their product i.e 42988992

Least Common Multiple of 5461,7872 with GCF Formula

Least Common Multiple of 5461,7872 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 5461,7872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5461,7872) = 1

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

GCF(5461,7872) x common factors =1 x 1 = 1

LCM(5461,7872) = ( 5461 × 7872 ) / 1

LCM(5461,7872) = 42988992 / 1

LCM(5461,7872) = 42988992


Lets's calculate GCF of 459,753

3 459, 753
153, 251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42988992/3

Therefore the LCM of Fractions 5461/459,7872/753 is 14329664

Greatest Common Factor of 459,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,753 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 459,753 . The biggest common factor number is the GCF number.
So the greatest common factor 459,753 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 5461/459, 7872/753

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 5461/459, 7872/753?

Answer: LCM of Numerators as per given numbers 5461/459, 7872/753 is

LCM of Numerators i.e. for 5461,7872 is 42988992

GCF of denominators i.e. for 459,753 is 3.

Thus, LCM of Fractions is 14329664.Finally, LCM of Fractions for 5461/459, 7872/753 is 14329664.