Least Common Multiple of 13/594, 81/864, 706/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/594, 81/864, 706/510 quickly i.e. 123903 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/594, 81/864, 706/510 is 123903.

LCM(13/594, 81/864, 706/510) = 123903

LCM of 13/594, 81/864, 706/510

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 13/594,81/864,706/510

Given numbers are 13/594,81/864,706/510

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 13,81,706

Least Common Multiple of Numerators i.e. LCM of 13,81,706 is 743418.

GCF of Denominators means GCF of 594,864,510 as per the given fractions.

GCF of 594,864,510 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,81,706

LCM of Fractions 13/594,81/864,706/510 is 123903

Given numbers has no common factors except 1. So, there LCM is their product i.e 743418

Least Common Multiple of 13,81,706 with GCF Formula

Least Common Multiple of 13,81,706 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 13,81,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,81,706) = 1

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

GCF(13,81,706) x common factors =1 x 1 = 1

LCM(13,81,706) = ( 13 × 81 × 706 ) / 1

LCM(13,81,706) = 743418 / 1

LCM(13,81,706) = 743418


Lets's calculate GCF of 594,864,510

2 594, 864, 510
3 297, 432, 255
99, 144, 85

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 743418/6

Therefore the LCM of Fractions 13/594,81/864,706/510 is 123903

Greatest Common Factor of 594,864,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,864,510 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

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 594,864,510 . The biggest common factor number is the GCF number.
So the greatest common factor 594,864,510 is 6.


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 13/594, 81/864, 706/510

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 13/594, 81/864, 706/510?

Answer: LCM of Numerators as per given numbers 13/594, 81/864, 706/510 is

LCM of Numerators i.e. for 13,81,706 is 743418

GCF of denominators i.e. for 594,864,510 is 6.

Thus, LCM of Fractions is 123903.Finally, LCM of Fractions for 13/594, 81/864, 706/510 is 123903.