Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3817/35, 5005/994 quickly i.e. 248105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3817/35, 5005/994 is 248105.
LCM(3817/35, 5005/994) = 248105
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3817/35,5005/994
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 3817,5005
Least Common Multiple of Numerators i.e. LCM of 3817,5005 is 1736735.
GCF of Denominators means GCF of 35,994 as per the given fractions.
GCF of 35,994 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3817,5005
11 | 3817, 5005 |
347, 455 |
∴ So the LCM of the given numbers is 11 x 347 x 455 = 1736735
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 3817,5005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3817,5005) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(3817,5005) x common factors =11 x 1 = 11
LCM(3817,5005) = ( 3817 × 5005 ) / 11
LCM(3817,5005) = 19104085 / 11
LCM(3817,5005) = 1736735
Lets's calculate GCF of 35,994
7 | 35, 994 |
5, 142 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1736735/7
Therefore the LCM of Fractions 3817/35,5005/994 is 248105
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 35,994 . The biggest common factor number is the GCF number.
So the greatest common factor 35,994 is 7.
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 3817/35, 5005/994?
Answer: LCM of Numerators as per given numbers 3817/35, 5005/994 is
LCM of Numerators i.e. for 3817,5005 is 1736735
GCF of denominators i.e. for 35,994 is 7.
Thus, LCM of Fractions is 248105.Finally, LCM of Fractions for 3817/35, 5005/994 is 248105.