Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 417/63, 695/9841 quickly i.e. 2085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 417/63, 695/9841 is 2085.
LCM(417/63, 695/9841) = 2085
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 417/63,695/9841
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 417,695
Least Common Multiple of Numerators i.e. LCM of 417,695 is 2085.
GCF of Denominators means GCF of 63,9841 as per the given fractions.
GCF of 63,9841 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 417,695
139 | 417, 695 |
3, 5 |
∴ So the LCM of the given numbers is 139 x 3 x 5 = 2085
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 417,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,695) = 139
common factors(in case of two or more numbers have common factors) = 1
GCF(417,695) x common factors =139 x 1 = 139
LCM(417,695) = ( 417 × 695 ) / 139
LCM(417,695) = 289815 / 139
LCM(417,695) = 2085
Lets's calculate GCF of 63,9841
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2085/1
Therefore the LCM of Fractions 417/63,695/9841 is 2085
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 9841
List of positive integer factors of 9841 that divides 9841 without a remainder.
1,13,757,9841
Greatest Common Factor
We found the factors 63,9841 . The biggest common factor number is the GCF number.
So the greatest common factor 63,9841 is 1.
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 417/63, 695/9841?
Answer: LCM of Numerators as per given numbers 417/63, 695/9841 is
LCM of Numerators i.e. for 417,695 is 2085
GCF of denominators i.e. for 63,9841 is 1.
Thus, LCM of Fractions is 2085.Finally, LCM of Fractions for 417/63, 695/9841 is 2085.