Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/413, 6657/5171 quickly i.e. 19971 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/413, 6657/5171 is 19971.
LCM(63/413, 6657/5171) = 19971
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/413,6657/5171
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 63,6657
Least Common Multiple of Numerators i.e. LCM of 63,6657 is 19971.
GCF of Denominators means GCF of 413,5171 as per the given fractions.
GCF of 413,5171 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,6657
3 | 63, 6657 |
7 | 21, 2219 |
3, 317 |
∴ So the LCM of the given numbers is 3 x 7 x 3 x 317 = 19971
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 63,6657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,6657) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(63,6657) x common factors =21 x 1 = 21
LCM(63,6657) = ( 63 × 6657 ) / 21
LCM(63,6657) = 419391 / 21
LCM(63,6657) = 19971
Lets's calculate GCF of 413,5171
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19971/1
Therefore the LCM of Fractions 63/413,6657/5171 is 19971
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1,7,59,413
Factors of 5171
List of positive integer factors of 5171 that divides 5171 without a remainder.
1,5171
Greatest Common Factor
We found the factors 413,5171 . The biggest common factor number is the GCF number.
So the greatest common factor 413,5171 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 63/413, 6657/5171?
Answer: LCM of Numerators as per given numbers 63/413, 6657/5171 is
LCM of Numerators i.e. for 63,6657 is 19971
GCF of denominators i.e. for 413,5171 is 1.
Thus, LCM of Fractions is 19971.Finally, LCM of Fractions for 63/413, 6657/5171 is 19971.