Least Common Multiple of 39/33, 38/125, 213/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/33, 38/125, 213/383 quickly i.e. 105222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/33, 38/125, 213/383 is 105222.

LCM(39/33, 38/125, 213/383) = 105222

LCM of 39/33, 38/125, 213/383

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 39/33,38/125,213/383

Given numbers are 39/33,38/125,213/383

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 39,38,213

Least Common Multiple of Numerators i.e. LCM of 39,38,213 is 105222.

GCF of Denominators means GCF of 33,125,383 as per the given fractions.

GCF of 33,125,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,38,213

LCM of Fractions 39/33,38/125,213/383 is 105222

3 39, 38, 213
13, 38, 71

∴ So the LCM of the given numbers is 3 x 13 x 38 x 71 = 105222

Least Common Multiple of 39,38,213 with GCF Formula

Least Common Multiple of 39,38,213 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 39,38,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,38,213) = 1

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

GCF(39,38,213) x common factors =1 x 3 = 3

LCM(39,38,213) = ( 39 × 38 × 213 ) / 3

LCM(39,38,213) = 315666 / 3

LCM(39,38,213) = 105222


Lets's calculate GCF of 33,125,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105222/1

Therefore the LCM of Fractions 39/33,38/125,213/383 is 105222

Greatest Common Factor of 33,125,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,125,383 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 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 33,125,383 . The biggest common factor number is the GCF number.
So the greatest common factor 33,125,383 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 39/33, 38/125, 213/383

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 39/33, 38/125, 213/383?

Answer: LCM of Numerators as per given numbers 39/33, 38/125, 213/383 is

LCM of Numerators i.e. for 39,38,213 is 105222

GCF of denominators i.e. for 33,125,383 is 1.

Thus, LCM of Fractions is 105222.Finally, LCM of Fractions for 39/33, 38/125, 213/383 is 105222.