Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/515, 79/476, 519/540 quickly i.e. 984024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/515, 79/476, 519/540 is 984024.
LCM(72/515, 79/476, 519/540) = 984024
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/515,79/476,519/540
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 72,79,519
Least Common Multiple of Numerators i.e. LCM of 72,79,519 is 984024.
GCF of Denominators means GCF of 515,476,540 as per the given fractions.
GCF of 515,476,540 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,79,519
3 | 72, 79, 519 |
24, 79, 173 |
∴ So the LCM of the given numbers is 3 x 24 x 79 x 173 = 984024
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 72,79,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,79,519) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(72,79,519) x common factors =1 x 3 = 3
LCM(72,79,519) = ( 72 × 79 × 519 ) / 3
LCM(72,79,519) = 2952072 / 3
LCM(72,79,519) = 984024
Lets's calculate GCF of 515,476,540
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 984024/1
Therefore the LCM of Fractions 72/515,79/476,519/540 is 984024
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Greatest Common Factor
We found the factors 515,476,540 . The biggest common factor number is the GCF number.
So the greatest common factor 515,476,540 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 72/515, 79/476, 519/540?
Answer: LCM of Numerators as per given numbers 72/515, 79/476, 519/540 is
LCM of Numerators i.e. for 72,79,519 is 984024
GCF of denominators i.e. for 515,476,540 is 1.
Thus, LCM of Fractions is 984024.Finally, LCM of Fractions for 72/515, 79/476, 519/540 is 984024.