Least Common Multiple of 625/18, 213/39, 729/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 625/18, 213/39, 729/510 quickly i.e. 10783125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 625/18, 213/39, 729/510 is 10783125.

LCM(625/18, 213/39, 729/510) = 10783125

LCM of 625/18, 213/39, 729/510

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 625/18,213/39,729/510

Given numbers are 625/18,213/39,729/510

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 625,213,729

Least Common Multiple of Numerators i.e. LCM of 625,213,729 is 32349375.

GCF of Denominators means GCF of 18,39,510 as per the given fractions.

GCF of 18,39,510 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 625,213,729

LCM of Fractions 625/18,213/39,729/510 is 10783125

3 625, 213, 729
625, 71, 243

∴ So the LCM of the given numbers is 3 x 625 x 71 x 243 = 32349375

Least Common Multiple of 625,213,729 with GCF Formula

Least Common Multiple of 625,213,729 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 625,213,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,213,729) = 1

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

GCF(625,213,729) x common factors =1 x 3 = 3

LCM(625,213,729) = ( 625 × 213 × 729 ) / 3

LCM(625,213,729) = 97048125 / 3

LCM(625,213,729) = 32349375


Lets's calculate GCF of 18,39,510

3 18, 39, 510
6, 13, 170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32349375/3

Therefore the LCM of Fractions 625/18,213/39,729/510 is 10783125

Greatest Common Factor of 18,39,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,39,510 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 18,39,510 . The biggest common factor number is the GCF number.
So the greatest common factor 18,39,510 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 625/18, 213/39, 729/510

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 625/18, 213/39, 729/510?

Answer: LCM of Numerators as per given numbers 625/18, 213/39, 729/510 is

LCM of Numerators i.e. for 625,213,729 is 32349375

GCF of denominators i.e. for 18,39,510 is 3.

Thus, LCM of Fractions is 10783125.Finally, LCM of Fractions for 625/18, 213/39, 729/510 is 10783125.