Least Common Multiple of 36/513, 9139/3645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/513, 9139/3645 quickly i.e. 329004/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/513, 9139/3645 is 329004/27.

LCM(36/513, 9139/3645) = 329004/27

LCM of 36/513, 9139/3645

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 36/513,9139/3645

Given numbers are 36/513,9139/3645

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 36,9139

Least Common Multiple of Numerators i.e. LCM of 36,9139 is 329004.

GCF of Denominators means GCF of 513,3645 as per the given fractions.

GCF of 513,3645 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,9139

LCM of Fractions 36/513,9139/3645 is 329004/27

Given numbers has no common factors except 1. So, there LCM is their product i.e 329004

Least Common Multiple of 36,9139 with GCF Formula

Least Common Multiple of 36,9139 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 36,9139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,9139) = 1

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

GCF(36,9139) x common factors =1 x 1 = 1

LCM(36,9139) = ( 36 × 9139 ) / 1

LCM(36,9139) = 329004 / 1

LCM(36,9139) = 329004


Lets's calculate GCF of 513,3645

3 513, 3645
3 171, 1215
3 57, 405
19, 135

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 329004/27

Therefore the LCM of Fractions 36/513,9139/3645 is 329004/27

Greatest Common Factor of 513,3645 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,3645 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 3645

List of positive integer factors of 3645 that divides 3645 without a remainder.

1,3,5,9,15,27,45,81,135,243,405,729,1215,3645

Greatest Common Factor

We found the factors 513,3645 . The biggest common factor number is the GCF number.
So the greatest common factor 513,3645 is 27.


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 36/513, 9139/3645

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 36/513, 9139/3645?

Answer: LCM of Numerators as per given numbers 36/513, 9139/3645 is

LCM of Numerators i.e. for 36,9139 is 329004

GCF of denominators i.e. for 513,3645 is 27.

Thus, LCM of Fractions is 329004/27.Finally, LCM of Fractions for 36/513, 9139/3645 is 329004/27.