Least Common Multiple of 39/207, 28/555, 329/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/207, 28/555, 329/249 quickly i.e. 17108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/207, 28/555, 329/249 is 17108.

LCM(39/207, 28/555, 329/249) = 17108

LCM of 39/207, 28/555, 329/249

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 39/207,28/555,329/249

Given numbers are 39/207,28/555,329/249

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 39,28,329

Least Common Multiple of Numerators i.e. LCM of 39,28,329 is 51324.

GCF of Denominators means GCF of 207,555,249 as per the given fractions.

GCF of 207,555,249 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,28,329

LCM of Fractions 39/207,28/555,329/249 is 17108

7 39, 28, 329
39, 4, 47

∴ So the LCM of the given numbers is 7 x 39 x 4 x 47 = 51324

Least Common Multiple of 39,28,329 with GCF Formula

Least Common Multiple of 39,28,329 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 39,28,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,28,329) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(39,28,329) x common factors =1 x 7 = 7

LCM(39,28,329) = ( 39 × 28 × 329 ) / 7

LCM(39,28,329) = 359268 / 7

LCM(39,28,329) = 51324


Lets's calculate GCF of 207,555,249

3 207, 555, 249
69, 185, 83

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51324/3

Therefore the LCM of Fractions 39/207,28/555,329/249 is 17108

Greatest Common Factor of 207,555,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 207,555,249 By Matching Biggest Common Factor Method

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 207,555,249 . The biggest common factor number is the GCF number.
So the greatest common factor 207,555,249 is 3.


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 39/207, 28/555, 329/249

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 39/207, 28/555, 329/249?

Answer: LCM of Numerators as per given numbers 39/207, 28/555, 329/249 is

LCM of Numerators i.e. for 39,28,329 is 51324

GCF of denominators i.e. for 207,555,249 is 3.

Thus, LCM of Fractions is 17108.Finally, LCM of Fractions for 39/207, 28/555, 329/249 is 17108.