Least Common Multiple of 729/40, 276/4158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/40, 276/4158 quickly i.e. 33534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/40, 276/4158 is 33534.

LCM(729/40, 276/4158) = 33534

LCM of 729/40, 276/4158

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 729/40,276/4158

Given numbers are 729/40,276/4158

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 729,276

Least Common Multiple of Numerators i.e. LCM of 729,276 is 67068.

GCF of Denominators means GCF of 40,4158 as per the given fractions.

GCF of 40,4158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,276

LCM of Fractions 729/40,276/4158 is 33534

3 729, 276
243, 92

∴ So the LCM of the given numbers is 3 x 243 x 92 = 67068

Least Common Multiple of 729,276 with GCF Formula

Least Common Multiple of 729,276 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 729,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,276) = 3

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

GCF(729,276) x common factors =3 x 1 = 3

LCM(729,276) = ( 729 × 276 ) / 3

LCM(729,276) = 201204 / 3

LCM(729,276) = 67068


Lets's calculate GCF of 40,4158

2 40, 4158
20, 2079

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67068/2

Therefore the LCM of Fractions 729/40,276/4158 is 33534

Greatest Common Factor of 40,4158 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,4158 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 4158

List of positive integer factors of 4158 that divides 4158 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158

Greatest Common Factor

We found the factors 40,4158 . The biggest common factor number is the GCF number.
So the greatest common factor 40,4158 is 2.


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 729/40, 276/4158

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 729/40, 276/4158?

Answer: LCM of Numerators as per given numbers 729/40, 276/4158 is

LCM of Numerators i.e. for 729,276 is 67068

GCF of denominators i.e. for 40,4158 is 2.

Thus, LCM of Fractions is 33534.Finally, LCM of Fractions for 729/40, 276/4158 is 33534.