Least Common Multiple of 75/69, 83/21, 65/43, 39/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/69, 83/21, 65/43, 39/660 quickly i.e. 80925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/69, 83/21, 65/43, 39/660 is 80925.

LCM(75/69, 83/21, 65/43, 39/660) = 80925

LCM of 75/69, 83/21, 65/43, 39/660

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 75/69,83/21,65/43,39/660

Given numbers are 75/69,83/21,65/43,39/660

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 75,83,65,39

Least Common Multiple of Numerators i.e. LCM of 75,83,65,39 is 80925.

GCF of Denominators means GCF of 69,21,43,660 as per the given fractions.

GCF of 69,21,43,660 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,83,65,39

LCM of Fractions 75/69,83/21,65/43,39/660 is 80925

3 75, 83, 65, 39
5 25, 83, 65, 13
13 5, 83, 13, 13
5, 83, 1, 1

∴ So the LCM of the given numbers is 3 x 5 x 13 x 5 x 83 x 1 x 1 = 80925

Least Common Multiple of 75,83,65,39 with GCF Formula

Least Common Multiple of 75,83,65,39 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 75,83,65,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,83,65,39) = 1

common factors(in case of two or more numbers have common factors) = 195

GCF(75,83,65,39) x common factors =1 x 195 = 195

LCM(75,83,65,39) = ( 75 × 83 × 65 × 39 ) / 195

LCM(75,83,65,39) = 15780375 / 195

LCM(75,83,65,39) = 80925


Lets's calculate GCF of 69,21,43,660

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80925/1

Therefore the LCM of Fractions 75/69,83/21,65/43,39/660 is 80925

Greatest Common Factor of 69,21,43,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,21,43,660 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 21

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

1,3,7,21

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 69,21,43,660 . The biggest common factor number is the GCF number.
So the greatest common factor 69,21,43,660 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 75/69, 83/21, 65/43, 39/660

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 75/69, 83/21, 65/43, 39/660?

Answer: LCM of Numerators as per given numbers 75/69, 83/21, 65/43, 39/660 is

LCM of Numerators i.e. for 75,83,65,39 is 80925

GCF of denominators i.e. for 69,21,43,660 is 1.

Thus, LCM of Fractions is 80925.Finally, LCM of Fractions for 75/69, 83/21, 65/43, 39/660 is 80925.