Least Common Multiple of 168/30, 724/33, 336/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 168/30, 724/33, 336/84 quickly i.e. 20272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 168/30, 724/33, 336/84 is 20272.

LCM(168/30, 724/33, 336/84) = 20272

LCM of 168/30, 724/33, 336/84

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 168/30,724/33,336/84

Given numbers are 168/30,724/33,336/84

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 168,724,336

Least Common Multiple of Numerators i.e. LCM of 168,724,336 is 60816.

GCF of Denominators means GCF of 30,33,84 as per the given fractions.

GCF of 30,33,84 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 168,724,336

LCM of Fractions 168/30,724/33,336/84 is 20272

2 168, 724, 336
2 84, 362, 168
2 42, 181, 84
3 21, 181, 42
7 7, 181, 14
1, 181, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 1 x 181 x 2 = 60816

Least Common Multiple of 168,724,336 with GCF Formula

Least Common Multiple of 168,724,336 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 168,724,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,724,336) = 4

common factors(in case of two or more numbers have common factors) = 168

GCF(168,724,336) x common factors =4 x 168 = 672

LCM(168,724,336) = ( 168 × 724 × 336 ) / 672

LCM(168,724,336) = 40868352 / 672

LCM(168,724,336) = 60816


Lets's calculate GCF of 30,33,84

3 30, 33, 84
10, 11, 28

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60816/3

Therefore the LCM of Fractions 168/30,724/33,336/84 is 20272

Greatest Common Factor of 30,33,84 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,33,84 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 33

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

1,3,11,33

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Greatest Common Factor

We found the factors 30,33,84 . The biggest common factor number is the GCF number.
So the greatest common factor 30,33,84 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 168/30, 724/33, 336/84

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 168/30, 724/33, 336/84?

Answer: LCM of Numerators as per given numbers 168/30, 724/33, 336/84 is

LCM of Numerators i.e. for 168,724,336 is 60816

GCF of denominators i.e. for 30,33,84 is 3.

Thus, LCM of Fractions is 20272.Finally, LCM of Fractions for 168/30, 724/33, 336/84 is 20272.