Least Common Multiple of 39/435, 27/518, 531/607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/435, 27/518, 531/607 quickly i.e. 20709 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/435, 27/518, 531/607 is 20709.

LCM(39/435, 27/518, 531/607) = 20709

LCM of 39/435, 27/518, 531/607

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 39/435,27/518,531/607

Given numbers are 39/435,27/518,531/607

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 39,27,531

Least Common Multiple of Numerators i.e. LCM of 39,27,531 is 20709.

GCF of Denominators means GCF of 435,518,607 as per the given fractions.

GCF of 435,518,607 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,27,531

LCM of Fractions 39/435,27/518,531/607 is 20709

3 39, 27, 531
3 13, 9, 177
13, 3, 59

∴ So the LCM of the given numbers is 3 x 3 x 13 x 3 x 59 = 20709

Least Common Multiple of 39,27,531 with GCF Formula

Least Common Multiple of 39,27,531 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 39,27,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,27,531) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(39,27,531) x common factors =3 x 9 = 27

LCM(39,27,531) = ( 39 × 27 × 531 ) / 27

LCM(39,27,531) = 559143 / 27

LCM(39,27,531) = 20709


Lets's calculate GCF of 435,518,607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20709/1

Therefore the LCM of Fractions 39/435,27/518,531/607 is 20709

Greatest Common Factor of 435,518,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,518,607 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 435,518,607 . The biggest common factor number is the GCF number.
So the greatest common factor 435,518,607 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 39/435, 27/518, 531/607

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 39/435, 27/518, 531/607?

Answer: LCM of Numerators as per given numbers 39/435, 27/518, 531/607 is

LCM of Numerators i.e. for 39,27,531 is 20709

GCF of denominators i.e. for 435,518,607 is 1.

Thus, LCM of Fractions is 20709.Finally, LCM of Fractions for 39/435, 27/518, 531/607 is 20709.