Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 498/415, 1863/2395 quickly i.e. 309258/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 498/415, 1863/2395 is 309258/5.
LCM(498/415, 1863/2395) = 309258/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 498/415,1863/2395
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 498,1863
Least Common Multiple of Numerators i.e. LCM of 498,1863 is 309258.
GCF of Denominators means GCF of 415,2395 as per the given fractions.
GCF of 415,2395 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 498,1863
3 | 498, 1863 |
166, 621 |
∴ So the LCM of the given numbers is 3 x 166 x 621 = 309258
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 498,1863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,1863) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(498,1863) x common factors =3 x 1 = 3
LCM(498,1863) = ( 498 × 1863 ) / 3
LCM(498,1863) = 927774 / 3
LCM(498,1863) = 309258
Lets's calculate GCF of 415,2395
5 | 415, 2395 |
83, 479 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309258/5
Therefore the LCM of Fractions 498/415,1863/2395 is 309258/5
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Factors of 2395
List of positive integer factors of 2395 that divides 2395 without a remainder.
1,5,479,2395
Greatest Common Factor
We found the factors 415,2395 . The biggest common factor number is the GCF number.
So the greatest common factor 415,2395 is 5.
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 498/415, 1863/2395?
Answer: LCM of Numerators as per given numbers 498/415, 1863/2395 is
LCM of Numerators i.e. for 498,1863 is 309258
GCF of denominators i.e. for 415,2395 is 5.
Thus, LCM of Fractions is 309258/5.Finally, LCM of Fractions for 498/415, 1863/2395 is 309258/5.