Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 721/808, 616/500 quickly i.e. 15862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 721/808, 616/500 is 15862.
LCM(721/808, 616/500) = 15862
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 721/808,616/500
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 721,616
Least Common Multiple of Numerators i.e. LCM of 721,616 is 63448.
GCF of Denominators means GCF of 808,500 as per the given fractions.
GCF of 808,500 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 721,616
7 | 721, 616 |
103, 88 |
∴ So the LCM of the given numbers is 7 x 103 x 88 = 63448
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 721,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,616) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(721,616) x common factors =7 x 1 = 7
LCM(721,616) = ( 721 × 616 ) / 7
LCM(721,616) = 444136 / 7
LCM(721,616) = 63448
Lets's calculate GCF of 808,500
2 | 808, 500 |
2 | 404, 250 |
202, 125 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63448/4
Therefore the LCM of Fractions 721/808,616/500 is 15862
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 808,500 . The biggest common factor number is the GCF number.
So the greatest common factor 808,500 is 4.
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 721/808, 616/500?
Answer: LCM of Numerators as per given numbers 721/808, 616/500 is
LCM of Numerators i.e. for 721,616 is 63448
GCF of denominators i.e. for 808,500 is 4.
Thus, LCM of Fractions is 15862.Finally, LCM of Fractions for 721/808, 616/500 is 15862.