Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/15, 52/79, 631/204 quickly i.e. 98436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/15, 52/79, 631/204 is 98436.
LCM(39/15, 52/79, 631/204) = 98436
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/15,52/79,631/204
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 39,52,631
Least Common Multiple of Numerators i.e. LCM of 39,52,631 is 98436.
GCF of Denominators means GCF of 15,79,204 as per the given fractions.
GCF of 15,79,204 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,52,631
13 | 39, 52, 631 |
3, 4, 631 |
∴ So the LCM of the given numbers is 13 x 3 x 4 x 631 = 98436
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 39,52,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,52,631) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(39,52,631) x common factors =1 x 13 = 13
LCM(39,52,631) = ( 39 × 52 × 631 ) / 13
LCM(39,52,631) = 1279668 / 13
LCM(39,52,631) = 98436
Lets's calculate GCF of 15,79,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98436/1
Therefore the LCM of Fractions 39/15,52/79,631/204 is 98436
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 15,79,204 . The biggest common factor number is the GCF number.
So the greatest common factor 15,79,204 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 39/15, 52/79, 631/204?
Answer: LCM of Numerators as per given numbers 39/15, 52/79, 631/204 is
LCM of Numerators i.e. for 39,52,631 is 98436
GCF of denominators i.e. for 15,79,204 is 1.
Thus, LCM of Fractions is 98436.Finally, LCM of Fractions for 39/15, 52/79, 631/204 is 98436.