Least Common Multiple of 729/219, 4107/7655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/219, 4107/7655 quickly i.e. 998001 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/219, 4107/7655 is 998001.

LCM(729/219, 4107/7655) = 998001

LCM of 729/219, 4107/7655

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 729/219,4107/7655

Given numbers are 729/219,4107/7655

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 729,4107

Least Common Multiple of Numerators i.e. LCM of 729,4107 is 998001.

GCF of Denominators means GCF of 219,7655 as per the given fractions.

GCF of 219,7655 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,4107

LCM of Fractions 729/219,4107/7655 is 998001

3 729, 4107
243, 1369

∴ So the LCM of the given numbers is 3 x 243 x 1369 = 998001

Least Common Multiple of 729,4107 with GCF Formula

Least Common Multiple of 729,4107 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 729,4107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,4107) = 3

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

GCF(729,4107) x common factors =3 x 1 = 3

LCM(729,4107) = ( 729 × 4107 ) / 3

LCM(729,4107) = 2994003 / 3

LCM(729,4107) = 998001


Lets's calculate GCF of 219,7655

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 998001/1

Therefore the LCM of Fractions 729/219,4107/7655 is 998001

Greatest Common Factor of 219,7655 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,7655 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 7655

List of positive integer factors of 7655 that divides 7655 without a remainder.

1,5,1531,7655

Greatest Common Factor

We found the factors 219,7655 . The biggest common factor number is the GCF number.
So the greatest common factor 219,7655 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 729/219, 4107/7655

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 729/219, 4107/7655?

Answer: LCM of Numerators as per given numbers 729/219, 4107/7655 is

LCM of Numerators i.e. for 729,4107 is 998001

GCF of denominators i.e. for 219,7655 is 1.

Thus, LCM of Fractions is 998001.Finally, LCM of Fractions for 729/219, 4107/7655 is 998001.