Least Common Multiple of 3694/520, 5331/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3694/520, 5331/533 quickly i.e. 19692714/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3694/520, 5331/533 is 19692714/13.

LCM(3694/520, 5331/533) = 19692714/13

LCM of 3694/520, 5331/533

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 3694/520,5331/533

Given numbers are 3694/520,5331/533

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 3694,5331

Least Common Multiple of Numerators i.e. LCM of 3694,5331 is 19692714.

GCF of Denominators means GCF of 520,533 as per the given fractions.

GCF of 520,533 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3694,5331

LCM of Fractions 3694/520,5331/533 is 19692714/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 19692714

Least Common Multiple of 3694,5331 with GCF Formula

Least Common Multiple of 3694,5331 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 3694,5331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3694,5331) = 1

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

GCF(3694,5331) x common factors =1 x 1 = 1

LCM(3694,5331) = ( 3694 × 5331 ) / 1

LCM(3694,5331) = 19692714 / 1

LCM(3694,5331) = 19692714


Lets's calculate GCF of 520,533

13 520, 533
40, 41

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19692714/13

Therefore the LCM of Fractions 3694/520,5331/533 is 19692714/13

Greatest Common Factor of 520,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,533 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 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Greatest Common Factor

We found the factors 520,533 . The biggest common factor number is the GCF number.
So the greatest common factor 520,533 is 13.


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 3694/520, 5331/533

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 3694/520, 5331/533?

Answer: LCM of Numerators as per given numbers 3694/520, 5331/533 is

LCM of Numerators i.e. for 3694,5331 is 19692714

GCF of denominators i.e. for 520,533 is 13.

Thus, LCM of Fractions is 19692714/13.Finally, LCM of Fractions for 3694/520, 5331/533 is 19692714/13.