Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6255/884, 2409/2590 quickly i.e. 5022765/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6255/884, 2409/2590 is 5022765/2.
LCM(6255/884, 2409/2590) = 5022765/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6255/884,2409/2590
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 6255,2409
Least Common Multiple of Numerators i.e. LCM of 6255,2409 is 5022765.
GCF of Denominators means GCF of 884,2590 as per the given fractions.
GCF of 884,2590 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6255,2409
3 | 6255, 2409 |
2085, 803 |
∴ So the LCM of the given numbers is 3 x 2085 x 803 = 5022765
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 6255,2409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6255,2409) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(6255,2409) x common factors =3 x 1 = 3
LCM(6255,2409) = ( 6255 × 2409 ) / 3
LCM(6255,2409) = 15068295 / 3
LCM(6255,2409) = 5022765
Lets's calculate GCF of 884,2590
2 | 884, 2590 |
442, 1295 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5022765/2
Therefore the LCM of Fractions 6255/884,2409/2590 is 5022765/2
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Factors of 2590
List of positive integer factors of 2590 that divides 2590 without a remainder.
1,2,5,7,10,14,35,37,70,74,185,259,370,518,1295,2590
Greatest Common Factor
We found the factors 884,2590 . The biggest common factor number is the GCF number.
So the greatest common factor 884,2590 is 2.
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 6255/884, 2409/2590?
Answer: LCM of Numerators as per given numbers 6255/884, 2409/2590 is
LCM of Numerators i.e. for 6255,2409 is 5022765
GCF of denominators i.e. for 884,2590 is 2.
Thus, LCM of Fractions is 5022765/2.Finally, LCM of Fractions for 6255/884, 2409/2590 is 5022765/2.