Least Common Multiple of 6475/729, 5624/4533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6475/729, 5624/4533 quickly i.e. 984200/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6475/729, 5624/4533 is 984200/3.

LCM(6475/729, 5624/4533) = 984200/3

LCM of 6475/729, 5624/4533

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 6475/729,5624/4533

Given numbers are 6475/729,5624/4533

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 6475,5624

Least Common Multiple of Numerators i.e. LCM of 6475,5624 is 984200.

GCF of Denominators means GCF of 729,4533 as per the given fractions.

GCF of 729,4533 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6475,5624

LCM of Fractions 6475/729,5624/4533 is 984200/3

37 6475, 5624
175, 152

∴ So the LCM of the given numbers is 37 x 175 x 152 = 984200

Least Common Multiple of 6475,5624 with GCF Formula

Least Common Multiple of 6475,5624 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 6475,5624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6475,5624) = 37

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

GCF(6475,5624) x common factors =37 x 1 = 37

LCM(6475,5624) = ( 6475 × 5624 ) / 37

LCM(6475,5624) = 36415400 / 37

LCM(6475,5624) = 984200


Lets's calculate GCF of 729,4533

3 729, 4533
243, 1511

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 984200/3

Therefore the LCM of Fractions 6475/729,5624/4533 is 984200/3

Greatest Common Factor of 729,4533 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,4533 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 4533

List of positive integer factors of 4533 that divides 4533 without a remainder.

1,3,1511,4533

Greatest Common Factor

We found the factors 729,4533 . The biggest common factor number is the GCF number.
So the greatest common factor 729,4533 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 6475/729, 5624/4533

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 6475/729, 5624/4533?

Answer: LCM of Numerators as per given numbers 6475/729, 5624/4533 is

LCM of Numerators i.e. for 6475,5624 is 984200

GCF of denominators i.e. for 729,4533 is 3.

Thus, LCM of Fractions is 984200/3.Finally, LCM of Fractions for 6475/729, 5624/4533 is 984200/3.