Least Common Multiple of 36/20, 77/27, 27/33, 84/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/20, 77/27, 27/33, 84/623 quickly i.e. 8316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/20, 77/27, 27/33, 84/623 is 8316.

LCM(36/20, 77/27, 27/33, 84/623) = 8316

LCM of 36/20, 77/27, 27/33, 84/623

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 36/20,77/27,27/33,84/623

Given numbers are 36/20,77/27,27/33,84/623

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 36,77,27,84

Least Common Multiple of Numerators i.e. LCM of 36,77,27,84 is 8316.

GCF of Denominators means GCF of 20,27,33,623 as per the given fractions.

GCF of 20,27,33,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,77,27,84

LCM of Fractions 36/20,77/27,27/33,84/623 is 8316

2 36, 77, 27, 84
2 18, 77, 27, 42
3 9, 77, 27, 21
3 3, 77, 9, 7
7 1, 77, 3, 7
1, 11, 3, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 1 x 11 x 3 x 1 = 8316

Least Common Multiple of 36,77,27,84 with GCF Formula

Least Common Multiple of 36,77,27,84 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 36,77,27,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,77,27,84) = 1

common factors(in case of two or more numbers have common factors) = 756

GCF(36,77,27,84) x common factors =1 x 756 = 756

LCM(36,77,27,84) = ( 36 × 77 × 27 × 84 ) / 756

LCM(36,77,27,84) = 6286896 / 756

LCM(36,77,27,84) = 8316


Lets's calculate GCF of 20,27,33,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8316/1

Therefore the LCM of Fractions 36/20,77/27,27/33,84/623 is 8316

Greatest Common Factor of 20,27,33,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,27,33,623 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 20,27,33,623 . The biggest common factor number is the GCF number.
So the greatest common factor 20,27,33,623 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 36/20, 77/27, 27/33, 84/623

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 36/20, 77/27, 27/33, 84/623?

Answer: LCM of Numerators as per given numbers 36/20, 77/27, 27/33, 84/623 is

LCM of Numerators i.e. for 36,77,27,84 is 8316

GCF of denominators i.e. for 20,27,33,623 is 1.

Thus, LCM of Fractions is 8316.Finally, LCM of Fractions for 36/20, 77/27, 27/33, 84/623 is 8316.