Least Common Multiple of 65/21, 99/78, 333/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/21, 99/78, 333/711 quickly i.e. 79365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/21, 99/78, 333/711 is 79365.

LCM(65/21, 99/78, 333/711) = 79365

LCM of 65/21, 99/78, 333/711

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 65/21,99/78,333/711

Given numbers are 65/21,99/78,333/711

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 65,99,333

Least Common Multiple of Numerators i.e. LCM of 65,99,333 is 238095.

GCF of Denominators means GCF of 21,78,711 as per the given fractions.

GCF of 21,78,711 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,99,333

LCM of Fractions 65/21,99/78,333/711 is 79365

3 65, 99, 333
3 65, 33, 111
65, 11, 37

∴ So the LCM of the given numbers is 3 x 3 x 65 x 11 x 37 = 238095

Least Common Multiple of 65,99,333 with GCF Formula

Least Common Multiple of 65,99,333 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 65,99,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,99,333) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(65,99,333) x common factors =1 x 9 = 9

LCM(65,99,333) = ( 65 × 99 × 333 ) / 9

LCM(65,99,333) = 2142855 / 9

LCM(65,99,333) = 238095


Lets's calculate GCF of 21,78,711

3 21, 78, 711
7, 26, 237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238095/3

Therefore the LCM of Fractions 65/21,99/78,333/711 is 79365

Greatest Common Factor of 21,78,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,78,711 By Matching Biggest Common Factor Method

Factors of 21

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

1,3,7,21

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 21,78,711 . The biggest common factor number is the GCF number.
So the greatest common factor 21,78,711 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 65/21, 99/78, 333/711

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 65/21, 99/78, 333/711?

Answer: LCM of Numerators as per given numbers 65/21, 99/78, 333/711 is

LCM of Numerators i.e. for 65,99,333 is 238095

GCF of denominators i.e. for 21,78,711 is 3.

Thus, LCM of Fractions is 79365.Finally, LCM of Fractions for 65/21, 99/78, 333/711 is 79365.