Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/14, 631/39, 127/808 quickly i.e. 4728083 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/14, 631/39, 127/808 is 4728083.
LCM(59/14, 631/39, 127/808) = 4728083
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/14,631/39,127/808
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 59,631,127
Least Common Multiple of Numerators i.e. LCM of 59,631,127 is 4728083.
GCF of Denominators means GCF of 14,39,808 as per the given fractions.
GCF of 14,39,808 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,631,127
Given numbers has no common factors except 1. So, there LCM is their product i.e 4728083
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 59,631,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,631,127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,631,127) x common factors =1 x 1 = 1
LCM(59,631,127) = ( 59 × 631 × 127 ) / 1
LCM(59,631,127) = 4728083 / 1
LCM(59,631,127) = 4728083
Lets's calculate GCF of 14,39,808
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4728083/1
Therefore the LCM of Fractions 59/14,631/39,127/808 is 4728083
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 14,39,808 . The biggest common factor number is the GCF number.
So the greatest common factor 14,39,808 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 59/14, 631/39, 127/808?
Answer: LCM of Numerators as per given numbers 59/14, 631/39, 127/808 is
LCM of Numerators i.e. for 59,631,127 is 4728083
GCF of denominators i.e. for 14,39,808 is 1.
Thus, LCM of Fractions is 4728083.Finally, LCM of Fractions for 59/14, 631/39, 127/808 is 4728083.