Least Common Multiple of 8502/510, 4340/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8502/510, 4340/729 quickly i.e. 6149780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8502/510, 4340/729 is 6149780.

LCM(8502/510, 4340/729) = 6149780

LCM of 8502/510, 4340/729

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 8502/510,4340/729

Given numbers are 8502/510,4340/729

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 8502,4340

Least Common Multiple of Numerators i.e. LCM of 8502,4340 is 18449340.

GCF of Denominators means GCF of 510,729 as per the given fractions.

GCF of 510,729 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8502,4340

LCM of Fractions 8502/510,4340/729 is 6149780

2 8502, 4340
4251, 2170

∴ So the LCM of the given numbers is 2 x 4251 x 2170 = 18449340

Least Common Multiple of 8502,4340 with GCF Formula

Least Common Multiple of 8502,4340 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 8502,4340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8502,4340) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(8502,4340) x common factors =2 x 1 = 2

LCM(8502,4340) = ( 8502 × 4340 ) / 2

LCM(8502,4340) = 36898680 / 2

LCM(8502,4340) = 18449340


Lets's calculate GCF of 510,729

3 510, 729
170, 243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18449340/3

Therefore the LCM of Fractions 8502/510,4340/729 is 6149780

Greatest Common Factor of 510,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,729 By Matching Biggest Common Factor Method

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

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 510,729 . The biggest common factor number is the GCF number.
So the greatest common factor 510,729 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 8502/510, 4340/729

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 8502/510, 4340/729?

Answer: LCM of Numerators as per given numbers 8502/510, 4340/729 is

LCM of Numerators i.e. for 8502,4340 is 18449340

GCF of denominators i.e. for 510,729 is 3.

Thus, LCM of Fractions is 6149780.Finally, LCM of Fractions for 8502/510, 4340/729 is 6149780.