Least Common Multiple of 11/520, 346/65, 396/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/520, 346/65, 396/215 quickly i.e. 68508/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/520, 346/65, 396/215 is 68508/5.

LCM(11/520, 346/65, 396/215) = 68508/5

LCM of 11/520, 346/65, 396/215

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 11/520,346/65,396/215

Given numbers are 11/520,346/65,396/215

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 11,346,396

Least Common Multiple of Numerators i.e. LCM of 11,346,396 is 68508.

GCF of Denominators means GCF of 520,65,215 as per the given fractions.

GCF of 520,65,215 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,346,396

LCM of Fractions 11/520,346/65,396/215 is 68508/5

2 11, 346, 396
11 11, 173, 198
1, 173, 18

∴ So the LCM of the given numbers is 2 x 11 x 1 x 173 x 18 = 68508

Least Common Multiple of 11,346,396 with GCF Formula

Least Common Multiple of 11,346,396 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 11,346,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,346,396) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(11,346,396) x common factors =1 x 22 = 22

LCM(11,346,396) = ( 11 × 346 × 396 ) / 22

LCM(11,346,396) = 1507176 / 22

LCM(11,346,396) = 68508


Lets's calculate GCF of 520,65,215

5 520, 65, 215
104, 13, 43

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68508/5

Therefore the LCM of Fractions 11/520,346/65,396/215 is 68508/5

Greatest Common Factor of 520,65,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,65,215 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 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 520,65,215 . The biggest common factor number is the GCF number.
So the greatest common factor 520,65,215 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 11/520, 346/65, 396/215

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 11/520, 346/65, 396/215?

Answer: LCM of Numerators as per given numbers 11/520, 346/65, 396/215 is

LCM of Numerators i.e. for 11,346,396 is 68508

GCF of denominators i.e. for 520,65,215 is 5.

Thus, LCM of Fractions is 68508/5.Finally, LCM of Fractions for 11/520, 346/65, 396/215 is 68508/5.