Least Common Multiple of 69/82, 44/64, 39/16, 13/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/82, 44/64, 39/16, 13/642 quickly i.e. 19734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/82, 44/64, 39/16, 13/642 is 19734.

LCM(69/82, 44/64, 39/16, 13/642) = 19734

LCM of 69/82, 44/64, 39/16, 13/642

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 69/82,44/64,39/16,13/642

Given numbers are 69/82,44/64,39/16,13/642

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 69,44,39,13

Least Common Multiple of Numerators i.e. LCM of 69,44,39,13 is 39468.

GCF of Denominators means GCF of 82,64,16,642 as per the given fractions.

GCF of 82,64,16,642 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,44,39,13

LCM of Fractions 69/82,44/64,39/16,13/642 is 19734

3 69, 44, 39, 13
13 23, 44, 13, 13
23, 44, 1, 1

∴ So the LCM of the given numbers is 3 x 13 x 23 x 44 x 1 x 1 = 39468

Least Common Multiple of 69,44,39,13 with GCF Formula

Least Common Multiple of 69,44,39,13 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 69,44,39,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,44,39,13) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(69,44,39,13) x common factors =1 x 39 = 39

LCM(69,44,39,13) = ( 69 × 44 × 39 × 13 ) / 39

LCM(69,44,39,13) = 1539252 / 39

LCM(69,44,39,13) = 39468


Lets's calculate GCF of 82,64,16,642

2 82, 64, 16, 642
41, 32, 8, 321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39468/2

Therefore the LCM of Fractions 69/82,44/64,39/16,13/642 is 19734

Greatest Common Factor of 82,64,16,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,64,16,642 By Matching Biggest Common Factor Method

Factors of 82

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

1,2,41,82

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 82,64,16,642 . The biggest common factor number is the GCF number.
So the greatest common factor 82,64,16,642 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 69/82, 44/64, 39/16, 13/642

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 69/82, 44/64, 39/16, 13/642?

Answer: LCM of Numerators as per given numbers 69/82, 44/64, 39/16, 13/642 is

LCM of Numerators i.e. for 69,44,39,13 is 39468

GCF of denominators i.e. for 82,64,16,642 is 2.

Thus, LCM of Fractions is 19734.Finally, LCM of Fractions for 69/82, 44/64, 39/16, 13/642 is 19734.