Least Common Multiple of 65/69, 21/75, 252/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/69, 21/75, 252/204 quickly i.e. 5460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/69, 21/75, 252/204 is 5460.

LCM(65/69, 21/75, 252/204) = 5460

LCM of 65/69, 21/75, 252/204

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 65/69,21/75,252/204

Given numbers are 65/69,21/75,252/204

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 65,21,252

Least Common Multiple of Numerators i.e. LCM of 65,21,252 is 16380.

GCF of Denominators means GCF of 69,75,204 as per the given fractions.

GCF of 69,75,204 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,21,252

LCM of Fractions 65/69,21/75,252/204 is 5460

3 65, 21, 252
7 65, 7, 84
65, 1, 12

∴ So the LCM of the given numbers is 3 x 7 x 65 x 1 x 12 = 16380

Least Common Multiple of 65,21,252 with GCF Formula

Least Common Multiple of 65,21,252 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 65,21,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,21,252) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(65,21,252) x common factors =1 x 21 = 21

LCM(65,21,252) = ( 65 × 21 × 252 ) / 21

LCM(65,21,252) = 343980 / 21

LCM(65,21,252) = 16380


Lets's calculate GCF of 69,75,204

3 69, 75, 204
23, 25, 68

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16380/3

Therefore the LCM of Fractions 65/69,21/75,252/204 is 5460

Greatest Common Factor of 69,75,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,75,204 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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 69,75,204 . The biggest common factor number is the GCF number.
So the greatest common factor 69,75,204 is 3.


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 65/69, 21/75, 252/204

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 65/69, 21/75, 252/204?

Answer: LCM of Numerators as per given numbers 65/69, 21/75, 252/204 is

LCM of Numerators i.e. for 65,21,252 is 16380

GCF of denominators i.e. for 69,75,204 is 3.

Thus, LCM of Fractions is 5460.Finally, LCM of Fractions for 65/69, 21/75, 252/204 is 5460.