Least Common Multiple of 14/520, 327/405, 742/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/520, 327/405, 742/835 quickly i.e. 242634/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/520, 327/405, 742/835 is 242634/5.

LCM(14/520, 327/405, 742/835) = 242634/5

LCM of 14/520, 327/405, 742/835

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 14/520,327/405,742/835

Given numbers are 14/520,327/405,742/835

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 14,327,742

Least Common Multiple of Numerators i.e. LCM of 14,327,742 is 242634.

GCF of Denominators means GCF of 520,405,835 as per the given fractions.

GCF of 520,405,835 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,327,742

LCM of Fractions 14/520,327/405,742/835 is 242634/5

2 14, 327, 742
7 7, 327, 371
1, 327, 53

∴ So the LCM of the given numbers is 2 x 7 x 1 x 327 x 53 = 242634

Least Common Multiple of 14,327,742 with GCF Formula

Least Common Multiple of 14,327,742 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 14,327,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,327,742) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(14,327,742) x common factors =1 x 14 = 14

LCM(14,327,742) = ( 14 × 327 × 742 ) / 14

LCM(14,327,742) = 3396876 / 14

LCM(14,327,742) = 242634


Lets's calculate GCF of 520,405,835

5 520, 405, 835
104, 81, 167

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242634/5

Therefore the LCM of Fractions 14/520,327/405,742/835 is 242634/5

Greatest Common Factor of 520,405,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,405,835 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 520,405,835 . The biggest common factor number is the GCF number.
So the greatest common factor 520,405,835 is 5.


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 14/520, 327/405, 742/835

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 14/520, 327/405, 742/835?

Answer: LCM of Numerators as per given numbers 14/520, 327/405, 742/835 is

LCM of Numerators i.e. for 14,327,742 is 242634

GCF of denominators i.e. for 520,405,835 is 5.

Thus, LCM of Fractions is 242634/5.Finally, LCM of Fractions for 14/520, 327/405, 742/835 is 242634/5.