Least Common Multiple of 13/29, 940/42, 540/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/29, 940/42, 540/599 quickly i.e. 329940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/29, 940/42, 540/599 is 329940.

LCM(13/29, 940/42, 540/599) = 329940

LCM of 13/29, 940/42, 540/599

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 13/29,940/42,540/599

Given numbers are 13/29,940/42,540/599

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 13,940,540

Least Common Multiple of Numerators i.e. LCM of 13,940,540 is 329940.

GCF of Denominators means GCF of 29,42,599 as per the given fractions.

GCF of 29,42,599 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,940,540

LCM of Fractions 13/29,940/42,540/599 is 329940

2 13, 940, 540
2 13, 470, 270
5 13, 235, 135
13, 47, 27

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 47 x 27 = 329940

Least Common Multiple of 13,940,540 with GCF Formula

Least Common Multiple of 13,940,540 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 13,940,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,940,540) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(13,940,540) x common factors =1 x 20 = 20

LCM(13,940,540) = ( 13 × 940 × 540 ) / 20

LCM(13,940,540) = 6598800 / 20

LCM(13,940,540) = 329940


Lets's calculate GCF of 29,42,599

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 329940/1

Therefore the LCM of Fractions 13/29,940/42,540/599 is 329940

Greatest Common Factor of 29,42,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,42,599 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors 29,42,599 . The biggest common factor number is the GCF number.
So the greatest common factor 29,42,599 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 13/29, 940/42, 540/599

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 13/29, 940/42, 540/599?

Answer: LCM of Numerators as per given numbers 13/29, 940/42, 540/599 is

LCM of Numerators i.e. for 13,940,540 is 329940

GCF of denominators i.e. for 29,42,599 is 1.

Thus, LCM of Fractions is 329940.Finally, LCM of Fractions for 13/29, 940/42, 540/599 is 329940.