Least Common Multiple of 94/33, 72/30, 72/72, 59/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/33, 72/30, 72/72, 59/259 quickly i.e. 199656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/33, 72/30, 72/72, 59/259 is 199656.

LCM(94/33, 72/30, 72/72, 59/259) = 199656

LCM of 94/33, 72/30, 72/72, 59/259

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 94/33,72/30,72/72,59/259

Given numbers are 94/33,72/30,72/72,59/259

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 94,72,72,59

Least Common Multiple of Numerators i.e. LCM of 94,72,72,59 is 199656.

GCF of Denominators means GCF of 33,30,72,259 as per the given fractions.

GCF of 33,30,72,259 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,72,72,59

LCM of Fractions 94/33,72/30,72/72,59/259 is 199656

2 94, 72, 72, 59
2 47, 36, 36, 59
2 47, 18, 18, 59
3 47, 9, 9, 59
3 47, 3, 3, 59
47, 1, 1, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 47 x 1 x 1 x 59 = 199656

Least Common Multiple of 94,72,72,59 with GCF Formula

Least Common Multiple of 94,72,72,59 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 94,72,72,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,72,72,59) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(94,72,72,59) x common factors =1 x 144 = 144

LCM(94,72,72,59) = ( 94 × 72 × 72 × 59 ) / 144

LCM(94,72,72,59) = 28750464 / 144

LCM(94,72,72,59) = 199656


Lets's calculate GCF of 33,30,72,259

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199656/1

Therefore the LCM of Fractions 94/33,72/30,72/72,59/259 is 199656

Greatest Common Factor of 33,30,72,259 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,30,72,259 By Matching Biggest Common Factor Method

Factors of 33

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

1,3,11,33

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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Greatest Common Factor

We found the factors 33,30,72,259 . The biggest common factor number is the GCF number.
So the greatest common factor 33,30,72,259 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 94/33, 72/30, 72/72, 59/259

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 94/33, 72/30, 72/72, 59/259?

Answer: LCM of Numerators as per given numbers 94/33, 72/30, 72/72, 59/259 is

LCM of Numerators i.e. for 94,72,72,59 is 199656

GCF of denominators i.e. for 33,30,72,259 is 1.

Thus, LCM of Fractions is 199656.Finally, LCM of Fractions for 94/33, 72/30, 72/72, 59/259 is 199656.