Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/13, 1/35, 82/89, 46/652 quickly i.e. 9430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/13, 1/35, 82/89, 46/652 is 9430.
LCM(5/13, 1/35, 82/89, 46/652) = 9430
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/13,1/35,82/89,46/652
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 5,1,82,46
Least Common Multiple of Numerators i.e. LCM of 5,1,82,46 is 9430.
GCF of Denominators means GCF of 13,35,89,652 as per the given fractions.
GCF of 13,35,89,652 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,1,82,46
2 | 5, 1, 82, 46 |
5, 1, 41, 23 |
∴ So the LCM of the given numbers is 2 x 5 x 1 x 41 x 23 = 9430
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 5,1,82,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,1,82,46) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(5,1,82,46) x common factors =1 x 2 = 2
LCM(5,1,82,46) = ( 5 × 1 × 82 × 46 ) / 2
LCM(5,1,82,46) = 18860 / 2
LCM(5,1,82,46) = 9430
Lets's calculate GCF of 13,35,89,652
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9430/1
Therefore the LCM of Fractions 5/13,1/35,82/89,46/652 is 9430
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Greatest Common Factor
We found the factors 13,35,89,652 . The biggest common factor number is the GCF number.
So the greatest common factor 13,35,89,652 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 5/13, 1/35, 82/89, 46/652?
Answer: LCM of Numerators as per given numbers 5/13, 1/35, 82/89, 46/652 is
LCM of Numerators i.e. for 5,1,82,46 is 9430
GCF of denominators i.e. for 13,35,89,652 is 1.
Thus, LCM of Fractions is 9430.Finally, LCM of Fractions for 5/13, 1/35, 82/89, 46/652 is 9430.