Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2518/780, 9987/568 quickly i.e. 25147266/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2518/780, 9987/568 is 25147266/4.
LCM(2518/780, 9987/568) = 25147266/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2518/780,9987/568
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 2518,9987
Least Common Multiple of Numerators i.e. LCM of 2518,9987 is 25147266.
GCF of Denominators means GCF of 780,568 as per the given fractions.
GCF of 780,568 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2518,9987
Given numbers has no common factors except 1. So, there LCM is their product i.e 25147266
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 2518,9987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2518,9987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2518,9987) x common factors =1 x 1 = 1
LCM(2518,9987) = ( 2518 × 9987 ) / 1
LCM(2518,9987) = 25147266 / 1
LCM(2518,9987) = 25147266
Lets's calculate GCF of 780,568
2 | 780, 568 |
2 | 390, 284 |
195, 142 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25147266/4
Therefore the LCM of Fractions 2518/780,9987/568 is 25147266/4
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Greatest Common Factor
We found the factors 780,568 . The biggest common factor number is the GCF number.
So the greatest common factor 780,568 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 2518/780, 9987/568?
Answer: LCM of Numerators as per given numbers 2518/780, 9987/568 is
LCM of Numerators i.e. for 2518,9987 is 25147266
GCF of denominators i.e. for 780,568 is 4.
Thus, LCM of Fractions is 25147266/4.Finally, LCM of Fractions for 2518/780, 9987/568 is 25147266/4.