Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/52, 556/32, 816/113 quickly i.e. 3289296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/52, 556/32, 816/113 is 3289296.
LCM(29/52, 556/32, 816/113) = 3289296
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/52,556/32,816/113
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 29,556,816
Least Common Multiple of Numerators i.e. LCM of 29,556,816 is 3289296.
GCF of Denominators means GCF of 52,32,113 as per the given fractions.
GCF of 52,32,113 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,556,816
2 | 29, 556, 816 |
2 | 29, 278, 408 |
29, 139, 204 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 139 x 204 = 3289296
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 29,556,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,556,816) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(29,556,816) x common factors =1 x 4 = 4
LCM(29,556,816) = ( 29 × 556 × 816 ) / 4
LCM(29,556,816) = 13157184 / 4
LCM(29,556,816) = 3289296
Lets's calculate GCF of 52,32,113
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3289296/1
Therefore the LCM of Fractions 29/52,556/32,816/113 is 3289296
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Greatest Common Factor
We found the factors 52,32,113 . The biggest common factor number is the GCF number.
So the greatest common factor 52,32,113 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 29/52, 556/32, 816/113?
Answer: LCM of Numerators as per given numbers 29/52, 556/32, 816/113 is
LCM of Numerators i.e. for 29,556,816 is 3289296
GCF of denominators i.e. for 52,32,113 is 1.
Thus, LCM of Fractions is 3289296.Finally, LCM of Fractions for 29/52, 556/32, 816/113 is 3289296.