Least Common Multiple of 410/21, 768/82, 393/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 410/21, 768/82, 393/215 quickly i.e. 20624640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 410/21, 768/82, 393/215 is 20624640.

LCM(410/21, 768/82, 393/215) = 20624640

LCM of 410/21, 768/82, 393/215

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 410/21,768/82,393/215

Given numbers are 410/21,768/82,393/215

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 410,768,393

Least Common Multiple of Numerators i.e. LCM of 410,768,393 is 20624640.

GCF of Denominators means GCF of 21,82,215 as per the given fractions.

GCF of 21,82,215 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 410,768,393

LCM of Fractions 410/21,768/82,393/215 is 20624640

2 410, 768, 393
3 205, 384, 393
205, 128, 131

∴ So the LCM of the given numbers is 2 x 3 x 205 x 128 x 131 = 20624640

Least Common Multiple of 410,768,393 with GCF Formula

Least Common Multiple of 410,768,393 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 410,768,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,768,393) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(410,768,393) x common factors =1 x 6 = 6

LCM(410,768,393) = ( 410 × 768 × 393 ) / 6

LCM(410,768,393) = 123747840 / 6

LCM(410,768,393) = 20624640


Lets's calculate GCF of 21,82,215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20624640/1

Therefore the LCM of Fractions 410/21,768/82,393/215 is 20624640

Greatest Common Factor of 21,82,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,82,215 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

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 21,82,215 . The biggest common factor number is the GCF number.
So the greatest common factor 21,82,215 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 410/21, 768/82, 393/215

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 410/21, 768/82, 393/215?

Answer: LCM of Numerators as per given numbers 410/21, 768/82, 393/215 is

LCM of Numerators i.e. for 410,768,393 is 20624640

GCF of denominators i.e. for 21,82,215 is 1.

Thus, LCM of Fractions is 20624640.Finally, LCM of Fractions for 410/21, 768/82, 393/215 is 20624640.