Least Common Multiple of 933/69, 690/21, 604/87

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 933/69, 690/21, 604/87 quickly i.e. 21602060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 933/69, 690/21, 604/87 is 21602060.

LCM(933/69, 690/21, 604/87) = 21602060

LCM of 933/69, 690/21, 604/87

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 933/69,690/21,604/87

Given numbers are 933/69,690/21,604/87

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 933,690,604

Least Common Multiple of Numerators i.e. LCM of 933,690,604 is 64806180.

GCF of Denominators means GCF of 69,21,87 as per the given fractions.

GCF of 69,21,87 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 933,690,604

LCM of Fractions 933/69,690/21,604/87 is 21602060

2 933, 690, 604
3 933, 345, 302
311, 115, 302

∴ So the LCM of the given numbers is 2 x 3 x 311 x 115 x 302 = 64806180

Least Common Multiple of 933,690,604 with GCF Formula

Least Common Multiple of 933,690,604 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 933,690,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,690,604) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(933,690,604) x common factors =1 x 6 = 6

LCM(933,690,604) = ( 933 × 690 × 604 ) / 6

LCM(933,690,604) = 388837080 / 6

LCM(933,690,604) = 64806180


Lets's calculate GCF of 69,21,87

3 69, 21, 87
23, 7, 29

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64806180/3

Therefore the LCM of Fractions 933/69,690/21,604/87 is 21602060

Greatest Common Factor of 69,21,87 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,21,87 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 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Greatest Common Factor

We found the factors 69,21,87 . The biggest common factor number is the GCF number.
So the greatest common factor 69,21,87 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 933/69, 690/21, 604/87

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 933/69, 690/21, 604/87?

Answer: LCM of Numerators as per given numbers 933/69, 690/21, 604/87 is

LCM of Numerators i.e. for 933,690,604 is 64806180

GCF of denominators i.e. for 69,21,87 is 3.

Thus, LCM of Fractions is 21602060.Finally, LCM of Fractions for 933/69, 690/21, 604/87 is 21602060.