Least Common Multiple of 66/20, 24/90, 45/54, 36/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/20, 24/90, 45/54, 36/824 quickly i.e. 1980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/20, 24/90, 45/54, 36/824 is 1980.

LCM(66/20, 24/90, 45/54, 36/824) = 1980

LCM of 66/20, 24/90, 45/54, 36/824

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 66/20,24/90,45/54,36/824

Given numbers are 66/20,24/90,45/54,36/824

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 66,24,45,36

Least Common Multiple of Numerators i.e. LCM of 66,24,45,36 is 3960.

GCF of Denominators means GCF of 20,90,54,824 as per the given fractions.

GCF of 20,90,54,824 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,24,45,36

LCM of Fractions 66/20,24/90,45/54,36/824 is 1980

2 66, 24, 45, 36
2 33, 12, 45, 18
3 33, 6, 45, 9
3 11, 2, 15, 3
11, 2, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 11 x 2 x 5 x 1 = 3960

Least Common Multiple of 66,24,45,36 with GCF Formula

Least Common Multiple of 66,24,45,36 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 66,24,45,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,24,45,36) = 3

common factors(in case of two or more numbers have common factors) = 216

GCF(66,24,45,36) x common factors =3 x 216 = 648

LCM(66,24,45,36) = ( 66 × 24 × 45 × 36 ) / 648

LCM(66,24,45,36) = 2566080 / 648

LCM(66,24,45,36) = 3960


Lets's calculate GCF of 20,90,54,824

2 20, 90, 54, 824
10, 45, 27, 412

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3960/2

Therefore the LCM of Fractions 66/20,24/90,45/54,36/824 is 1980

Greatest Common Factor of 20,90,54,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,90,54,824 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 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 20,90,54,824 . The biggest common factor number is the GCF number.
So the greatest common factor 20,90,54,824 is 2.


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 66/20, 24/90, 45/54, 36/824

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 66/20, 24/90, 45/54, 36/824?

Answer: LCM of Numerators as per given numbers 66/20, 24/90, 45/54, 36/824 is

LCM of Numerators i.e. for 66,24,45,36 is 3960

GCF of denominators i.e. for 20,90,54,824 is 2.

Thus, LCM of Fractions is 1980.Finally, LCM of Fractions for 66/20, 24/90, 45/54, 36/824 is 1980.