Least Common Multiple of 50/54, 67/90, 33/96, 84/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/54, 67/90, 33/96, 84/33 quickly i.e. 515900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/54, 67/90, 33/96, 84/33 is 515900.

LCM(50/54, 67/90, 33/96, 84/33) = 515900

LCM of 50/54, 67/90, 33/96, 84/33

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 50/54,67/90,33/96,84/33

Given numbers are 50/54,67/90,33/96,84/33

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 50,67,33,84

Least Common Multiple of Numerators i.e. LCM of 50,67,33,84 is 1547700.

GCF of Denominators means GCF of 54,90,96,33 as per the given fractions.

GCF of 54,90,96,33 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,67,33,84

LCM of Fractions 50/54,67/90,33/96,84/33 is 515900

2 50, 67, 33, 84
3 25, 67, 33, 42
25, 67, 11, 14

∴ So the LCM of the given numbers is 2 x 3 x 25 x 67 x 11 x 14 = 1547700

Least Common Multiple of 50,67,33,84 with GCF Formula

Least Common Multiple of 50,67,33,84 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 50,67,33,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,67,33,84) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(50,67,33,84) x common factors =1 x 6 = 6

LCM(50,67,33,84) = ( 50 × 67 × 33 × 84 ) / 6

LCM(50,67,33,84) = 9286200 / 6

LCM(50,67,33,84) = 1547700


Lets's calculate GCF of 54,90,96,33

3 54, 90, 96, 33
18, 30, 32, 11

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1547700/3

Therefore the LCM of Fractions 50/54,67/90,33/96,84/33 is 515900

Greatest Common Factor of 54,90,96,33 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,90,96,33 By Matching Biggest Common Factor Method

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 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 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 33

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

1,3,11,33

Greatest Common Factor

We found the factors 54,90,96,33 . The biggest common factor number is the GCF number.
So the greatest common factor 54,90,96,33 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 50/54, 67/90, 33/96, 84/33

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 50/54, 67/90, 33/96, 84/33?

Answer: LCM of Numerators as per given numbers 50/54, 67/90, 33/96, 84/33 is

LCM of Numerators i.e. for 50,67,33,84 is 1547700

GCF of denominators i.e. for 54,90,96,33 is 3.

Thus, LCM of Fractions is 515900.Finally, LCM of Fractions for 50/54, 67/90, 33/96, 84/33 is 515900.