Least Common Multiple of 96/14, 54/84, 33/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/14, 54/84, 33/899 quickly i.e. 9504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/14, 54/84, 33/899 is 9504.

LCM(96/14, 54/84, 33/899) = 9504

LCM of 96/14, 54/84, 33/899

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 96/14,54/84,33/899

Given numbers are 96/14,54/84,33/899

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 96,54,33

Least Common Multiple of Numerators i.e. LCM of 96,54,33 is 9504.

GCF of Denominators means GCF of 14,84,899 as per the given fractions.

GCF of 14,84,899 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,54,33

LCM of Fractions 96/14,54/84,33/899 is 9504

2 96, 54, 33
3 48, 27, 33
16, 9, 11

∴ So the LCM of the given numbers is 2 x 3 x 16 x 9 x 11 = 9504

Least Common Multiple of 96,54,33 with GCF Formula

Least Common Multiple of 96,54,33 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 96,54,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,54,33) = 3

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

GCF(96,54,33) x common factors =3 x 6 = 18

LCM(96,54,33) = ( 96 × 54 × 33 ) / 18

LCM(96,54,33) = 171072 / 18

LCM(96,54,33) = 9504


Lets's calculate GCF of 14,84,899

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9504/1

Therefore the LCM of Fractions 96/14,54/84,33/899 is 9504

Greatest Common Factor of 14,84,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,84,899 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

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 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 14,84,899 . The biggest common factor number is the GCF number.
So the greatest common factor 14,84,899 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 96/14, 54/84, 33/899

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 96/14, 54/84, 33/899?

Answer: LCM of Numerators as per given numbers 96/14, 54/84, 33/899 is

LCM of Numerators i.e. for 96,54,33 is 9504

GCF of denominators i.e. for 14,84,899 is 1.

Thus, LCM of Fractions is 9504.Finally, LCM of Fractions for 96/14, 54/84, 33/899 is 9504.