Least Common Multiple of 615/13, 642/10, 258/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 615/13, 642/10, 258/808 quickly i.e. 5659230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 615/13, 642/10, 258/808 is 5659230.

LCM(615/13, 642/10, 258/808) = 5659230

LCM of 615/13, 642/10, 258/808

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 615/13,642/10,258/808

Given numbers are 615/13,642/10,258/808

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 615,642,258

Least Common Multiple of Numerators i.e. LCM of 615,642,258 is 5659230.

GCF of Denominators means GCF of 13,10,808 as per the given fractions.

GCF of 13,10,808 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 615,642,258

LCM of Fractions 615/13,642/10,258/808 is 5659230

2 615, 642, 258
3 615, 321, 129
205, 107, 43

∴ So the LCM of the given numbers is 2 x 3 x 205 x 107 x 43 = 5659230

Least Common Multiple of 615,642,258 with GCF Formula

Least Common Multiple of 615,642,258 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 615,642,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,642,258) = 3

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

GCF(615,642,258) x common factors =3 x 6 = 18

LCM(615,642,258) = ( 615 × 642 × 258 ) / 18

LCM(615,642,258) = 101866140 / 18

LCM(615,642,258) = 5659230


Lets's calculate GCF of 13,10,808

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5659230/1

Therefore the LCM of Fractions 615/13,642/10,258/808 is 5659230

Greatest Common Factor of 13,10,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,10,808 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 13,10,808 . The biggest common factor number is the GCF number.
So the greatest common factor 13,10,808 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 615/13, 642/10, 258/808

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 615/13, 642/10, 258/808?

Answer: LCM of Numerators as per given numbers 615/13, 642/10, 258/808 is

LCM of Numerators i.e. for 615,642,258 is 5659230

GCF of denominators i.e. for 13,10,808 is 1.

Thus, LCM of Fractions is 5659230.Finally, LCM of Fractions for 615/13, 642/10, 258/808 is 5659230.