Least Common Multiple of 729/230, 4138/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/230, 4138/123 quickly i.e. 3016602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/230, 4138/123 is 3016602.

LCM(729/230, 4138/123) = 3016602

LCM of 729/230, 4138/123

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 729/230,4138/123

Given numbers are 729/230,4138/123

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 729,4138

Least Common Multiple of Numerators i.e. LCM of 729,4138 is 3016602.

GCF of Denominators means GCF of 230,123 as per the given fractions.

GCF of 230,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,4138

LCM of Fractions 729/230,4138/123 is 3016602

Given numbers has no common factors except 1. So, there LCM is their product i.e 3016602

Least Common Multiple of 729,4138 with GCF Formula

Least Common Multiple of 729,4138 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 729,4138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,4138) = 1

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

GCF(729,4138) x common factors =1 x 1 = 1

LCM(729,4138) = ( 729 × 4138 ) / 1

LCM(729,4138) = 3016602 / 1

LCM(729,4138) = 3016602


Lets's calculate GCF of 230,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3016602/1

Therefore the LCM of Fractions 729/230,4138/123 is 3016602

Greatest Common Factor of 230,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,123 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 230,123 . The biggest common factor number is the GCF number.
So the greatest common factor 230,123 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 729/230, 4138/123

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 729/230, 4138/123?

Answer: LCM of Numerators as per given numbers 729/230, 4138/123 is

LCM of Numerators i.e. for 729,4138 is 3016602

GCF of denominators i.e. for 230,123 is 1.

Thus, LCM of Fractions is 3016602.Finally, LCM of Fractions for 729/230, 4138/123 is 3016602.