Least Common Multiple of 33/68, 23/21, 84/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/68, 23/21, 84/360 quickly i.e. 21252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/68, 23/21, 84/360 is 21252.

LCM(33/68, 23/21, 84/360) = 21252

LCM of 33/68, 23/21, 84/360

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 33/68,23/21,84/360

Given numbers are 33/68,23/21,84/360

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 33,23,84

Least Common Multiple of Numerators i.e. LCM of 33,23,84 is 21252.

GCF of Denominators means GCF of 68,21,360 as per the given fractions.

GCF of 68,21,360 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,23,84

LCM of Fractions 33/68,23/21,84/360 is 21252

3 33, 23, 84
11, 23, 28

∴ So the LCM of the given numbers is 3 x 11 x 23 x 28 = 21252

Least Common Multiple of 33,23,84 with GCF Formula

Least Common Multiple of 33,23,84 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 33,23,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,23,84) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,23,84) x common factors =1 x 3 = 3

LCM(33,23,84) = ( 33 × 23 × 84 ) / 3

LCM(33,23,84) = 63756 / 3

LCM(33,23,84) = 21252


Lets's calculate GCF of 68,21,360

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21252/1

Therefore the LCM of Fractions 33/68,23/21,84/360 is 21252

Greatest Common Factor of 68,21,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,21,360 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 21

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

1,3,7,21

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 68,21,360 . The biggest common factor number is the GCF number.
So the greatest common factor 68,21,360 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 33/68, 23/21, 84/360

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 33/68, 23/21, 84/360?

Answer: LCM of Numerators as per given numbers 33/68, 23/21, 84/360 is

LCM of Numerators i.e. for 33,23,84 is 21252

GCF of denominators i.e. for 68,21,360 is 1.

Thus, LCM of Fractions is 21252.Finally, LCM of Fractions for 33/68, 23/21, 84/360 is 21252.