Least Common Multiple of 18/13, 65/471, 696/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/13, 65/471, 696/659 quickly i.e. 135720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/13, 65/471, 696/659 is 135720.

LCM(18/13, 65/471, 696/659) = 135720

LCM of 18/13, 65/471, 696/659

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 18/13,65/471,696/659

Given numbers are 18/13,65/471,696/659

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 18,65,696

Least Common Multiple of Numerators i.e. LCM of 18,65,696 is 135720.

GCF of Denominators means GCF of 13,471,659 as per the given fractions.

GCF of 13,471,659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,65,696

LCM of Fractions 18/13,65/471,696/659 is 135720

2 18, 65, 696
3 9, 65, 348
3, 65, 116

∴ So the LCM of the given numbers is 2 x 3 x 3 x 65 x 116 = 135720

Least Common Multiple of 18,65,696 with GCF Formula

Least Common Multiple of 18,65,696 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 18,65,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,65,696) = 1

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

GCF(18,65,696) x common factors =1 x 6 = 6

LCM(18,65,696) = ( 18 × 65 × 696 ) / 6

LCM(18,65,696) = 814320 / 6

LCM(18,65,696) = 135720


Lets's calculate GCF of 13,471,659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135720/1

Therefore the LCM of Fractions 18/13,65/471,696/659 is 135720

Greatest Common Factor of 13,471,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,471,659 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 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 13,471,659 . The biggest common factor number is the GCF number.
So the greatest common factor 13,471,659 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 18/13, 65/471, 696/659

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 18/13, 65/471, 696/659?

Answer: LCM of Numerators as per given numbers 18/13, 65/471, 696/659 is

LCM of Numerators i.e. for 18,65,696 is 135720

GCF of denominators i.e. for 13,471,659 is 1.

Thus, LCM of Fractions is 135720.Finally, LCM of Fractions for 18/13, 65/471, 696/659 is 135720.