Least Common Multiple of 33/73, 16/84, 14/40, 56/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/73, 16/84, 14/40, 56/132 quickly i.e. 3696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/73, 16/84, 14/40, 56/132 is 3696.

LCM(33/73, 16/84, 14/40, 56/132) = 3696

LCM of 33/73, 16/84, 14/40, 56/132

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 33/73,16/84,14/40,56/132

Given numbers are 33/73,16/84,14/40,56/132

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 33,16,14,56

Least Common Multiple of Numerators i.e. LCM of 33,16,14,56 is 3696.

GCF of Denominators means GCF of 73,84,40,132 as per the given fractions.

GCF of 73,84,40,132 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,16,14,56

LCM of Fractions 33/73,16/84,14/40,56/132 is 3696

2 33, 16, 14, 56
2 33, 8, 7, 28
2 33, 4, 7, 14
7 33, 2, 7, 7
33, 2, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 33 x 2 x 1 x 1 = 3696

Least Common Multiple of 33,16,14,56 with GCF Formula

Least Common Multiple of 33,16,14,56 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 33,16,14,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,16,14,56) = 1

common factors(in case of two or more numbers have common factors) = 112

GCF(33,16,14,56) x common factors =1 x 112 = 112

LCM(33,16,14,56) = ( 33 × 16 × 14 × 56 ) / 112

LCM(33,16,14,56) = 413952 / 112

LCM(33,16,14,56) = 3696


Lets's calculate GCF of 73,84,40,132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3696/1

Therefore the LCM of Fractions 33/73,16/84,14/40,56/132 is 3696

Greatest Common Factor of 73,84,40,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,84,40,132 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

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

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 73,84,40,132 . The biggest common factor number is the GCF number.
So the greatest common factor 73,84,40,132 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 33/73, 16/84, 14/40, 56/132

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 33/73, 16/84, 14/40, 56/132?

Answer: LCM of Numerators as per given numbers 33/73, 16/84, 14/40, 56/132 is

LCM of Numerators i.e. for 33,16,14,56 is 3696

GCF of denominators i.e. for 73,84,40,132 is 1.

Thus, LCM of Fractions is 3696.Finally, LCM of Fractions for 33/73, 16/84, 14/40, 56/132 is 3696.