Least Common Multiple of 13/34, 82/12, 65/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/34, 82/12, 65/866 quickly i.e. 2665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/34, 82/12, 65/866 is 2665.

LCM(13/34, 82/12, 65/866) = 2665

LCM of 13/34, 82/12, 65/866

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 13/34,82/12,65/866

Given numbers are 13/34,82/12,65/866

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 13,82,65

Least Common Multiple of Numerators i.e. LCM of 13,82,65 is 5330.

GCF of Denominators means GCF of 34,12,866 as per the given fractions.

GCF of 34,12,866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,82,65

LCM of Fractions 13/34,82/12,65/866 is 2665

13 13, 82, 65
1, 82, 5

∴ So the LCM of the given numbers is 13 x 1 x 82 x 5 = 5330

Least Common Multiple of 13,82,65 with GCF Formula

Least Common Multiple of 13,82,65 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 13,82,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,82,65) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(13,82,65) x common factors =1 x 13 = 13

LCM(13,82,65) = ( 13 × 82 × 65 ) / 13

LCM(13,82,65) = 69290 / 13

LCM(13,82,65) = 5330


Lets's calculate GCF of 34,12,866

2 34, 12, 866
17, 6, 433

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5330/2

Therefore the LCM of Fractions 13/34,82/12,65/866 is 2665

Greatest Common Factor of 34,12,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,12,866 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 34,12,866 . The biggest common factor number is the GCF number.
So the greatest common factor 34,12,866 is 2.


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 13/34, 82/12, 65/866

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 13/34, 82/12, 65/866?

Answer: LCM of Numerators as per given numbers 13/34, 82/12, 65/866 is

LCM of Numerators i.e. for 13,82,65 is 5330

GCF of denominators i.e. for 34,12,866 is 2.

Thus, LCM of Fractions is 2665.Finally, LCM of Fractions for 13/34, 82/12, 65/866 is 2665.