Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/21, 10/82, 15/48 quickly i.e. 30 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/21, 10/82, 15/48 is 30.
LCM(15/21, 10/82, 15/48) = 30
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/21,10/82,15/48
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 15,10,15
Least Common Multiple of Numerators i.e. LCM of 15,10,15 is 30.
GCF of Denominators means GCF of 21,82,48 as per the given fractions.
GCF of 21,82,48 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,10,15
3 | 15, 10, 15 |
5 | 5, 10, 5 |
1, 2, 1 |
∴ So the LCM of the given numbers is 3 x 5 x 1 x 2 x 1 = 30
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 15,10,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,10,15) = 5
common factors(in case of two or more numbers have common factors) = 15
GCF(15,10,15) x common factors =5 x 15 = 75
LCM(15,10,15) = ( 15 × 10 × 15 ) / 75
LCM(15,10,15) = 2250 / 75
LCM(15,10,15) = 30
Lets's calculate GCF of 21,82,48
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30/1
Therefore the LCM of Fractions 15/21,10/82,15/48 is 30
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Greatest Common Factor
We found the factors 21,82,48 . The biggest common factor number is the GCF number.
So the greatest common factor 21,82,48 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 15/21, 10/82, 15/48?
Answer: LCM of Numerators as per given numbers 15/21, 10/82, 15/48 is
LCM of Numerators i.e. for 15,10,15 is 30
GCF of denominators i.e. for 21,82,48 is 1.
Thus, LCM of Fractions is 30.Finally, LCM of Fractions for 15/21, 10/82, 15/48 is 30.