Least Common Multiple of 12/99, 38/64, 34/52, 47/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/99, 38/64, 34/52, 47/600 quickly i.e. 182172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/99, 38/64, 34/52, 47/600 is 182172.

LCM(12/99, 38/64, 34/52, 47/600) = 182172

LCM of 12/99, 38/64, 34/52, 47/600

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 12/99,38/64,34/52,47/600

Given numbers are 12/99,38/64,34/52,47/600

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 12,38,34,47

Least Common Multiple of Numerators i.e. LCM of 12,38,34,47 is 182172.

GCF of Denominators means GCF of 99,64,52,600 as per the given fractions.

GCF of 99,64,52,600 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,38,34,47

LCM of Fractions 12/99,38/64,34/52,47/600 is 182172

2 12, 38, 34, 47
6, 19, 17, 47

∴ So the LCM of the given numbers is 2 x 6 x 19 x 17 x 47 = 182172

Least Common Multiple of 12,38,34,47 with GCF Formula

Least Common Multiple of 12,38,34,47 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 12,38,34,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,38,34,47) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(12,38,34,47) x common factors =1 x 4 = 4

LCM(12,38,34,47) = ( 12 × 38 × 34 × 47 ) / 4

LCM(12,38,34,47) = 728688 / 4

LCM(12,38,34,47) = 182172


Lets's calculate GCF of 99,64,52,600

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182172/1

Therefore the LCM of Fractions 12/99,38/64,34/52,47/600 is 182172

Greatest Common Factor of 99,64,52,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,64,52,600 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 99,64,52,600 . The biggest common factor number is the GCF number.
So the greatest common factor 99,64,52,600 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 12/99, 38/64, 34/52, 47/600

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 12/99, 38/64, 34/52, 47/600?

Answer: LCM of Numerators as per given numbers 12/99, 38/64, 34/52, 47/600 is

LCM of Numerators i.e. for 12,38,34,47 is 182172

GCF of denominators i.e. for 99,64,52,600 is 1.

Thus, LCM of Fractions is 182172.Finally, LCM of Fractions for 12/99, 38/64, 34/52, 47/600 is 182172.