Least Common Multiple of 33/92, 39/22, 47/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/92, 39/22, 47/400 quickly i.e. 20163/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/92, 39/22, 47/400 is 20163/2.

LCM(33/92, 39/22, 47/400) = 20163/2

LCM of 33/92, 39/22, 47/400

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 33/92,39/22,47/400

Given numbers are 33/92,39/22,47/400

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 33,39,47

Least Common Multiple of Numerators i.e. LCM of 33,39,47 is 20163.

GCF of Denominators means GCF of 92,22,400 as per the given fractions.

GCF of 92,22,400 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,39,47

LCM of Fractions 33/92,39/22,47/400 is 20163/2

3 33, 39, 47
11, 13, 47

∴ So the LCM of the given numbers is 3 x 11 x 13 x 47 = 20163

Least Common Multiple of 33,39,47 with GCF Formula

Least Common Multiple of 33,39,47 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 33,39,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,39,47) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,39,47) x common factors =1 x 3 = 3

LCM(33,39,47) = ( 33 × 39 × 47 ) / 3

LCM(33,39,47) = 60489 / 3

LCM(33,39,47) = 20163


Lets's calculate GCF of 92,22,400

2 92, 22, 400
46, 11, 200

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20163/2

Therefore the LCM of Fractions 33/92,39/22,47/400 is 20163/2

Greatest Common Factor of 92,22,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,22,400 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 92,22,400 . The biggest common factor number is the GCF number.
So the greatest common factor 92,22,400 is 2.


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 33/92, 39/22, 47/400

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 33/92, 39/22, 47/400?

Answer: LCM of Numerators as per given numbers 33/92, 39/22, 47/400 is

LCM of Numerators i.e. for 33,39,47 is 20163

GCF of denominators i.e. for 92,22,400 is 2.

Thus, LCM of Fractions is 20163/2.Finally, LCM of Fractions for 33/92, 39/22, 47/400 is 20163/2.