Least Common Multiple of 82/66, 96/33, 64/65, 21/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/66, 96/33, 64/65, 21/182 quickly i.e. 55104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/66, 96/33, 64/65, 21/182 is 55104.

LCM(82/66, 96/33, 64/65, 21/182) = 55104

LCM of 82/66, 96/33, 64/65, 21/182

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 82/66,96/33,64/65,21/182

Given numbers are 82/66,96/33,64/65,21/182

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 82,96,64,21

Least Common Multiple of Numerators i.e. LCM of 82,96,64,21 is 55104.

GCF of Denominators means GCF of 66,33,65,182 as per the given fractions.

GCF of 66,33,65,182 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,96,64,21

LCM of Fractions 82/66,96/33,64/65,21/182 is 55104

2 82, 96, 64, 21
2 41, 48, 32, 21
2 41, 24, 16, 21
2 41, 12, 8, 21
2 41, 6, 4, 21
3 41, 3, 2, 21
41, 1, 2, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 41 x 1 x 2 x 7 = 55104

Least Common Multiple of 82,96,64,21 with GCF Formula

Least Common Multiple of 82,96,64,21 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 82,96,64,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,96,64,21) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(82,96,64,21) x common factors =1 x 192 = 192

LCM(82,96,64,21) = ( 82 × 96 × 64 × 21 ) / 192

LCM(82,96,64,21) = 10579968 / 192

LCM(82,96,64,21) = 55104


Lets's calculate GCF of 66,33,65,182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55104/1

Therefore the LCM of Fractions 82/66,96/33,64/65,21/182 is 55104

Greatest Common Factor of 66,33,65,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,33,65,182 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 33

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

1,3,11,33

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 66,33,65,182 . The biggest common factor number is the GCF number.
So the greatest common factor 66,33,65,182 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 82/66, 96/33, 64/65, 21/182

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 82/66, 96/33, 64/65, 21/182?

Answer: LCM of Numerators as per given numbers 82/66, 96/33, 64/65, 21/182 is

LCM of Numerators i.e. for 82,96,64,21 is 55104

GCF of denominators i.e. for 66,33,65,182 is 1.

Thus, LCM of Fractions is 55104.Finally, LCM of Fractions for 82/66, 96/33, 64/65, 21/182 is 55104.