Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/390, 39/715 quickly i.e. 624/65 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/390, 39/715 is 624/65.
LCM(16/390, 39/715) = 624/65
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/390,39/715
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 16,39
Least Common Multiple of Numerators i.e. LCM of 16,39 is 624.
GCF of Denominators means GCF of 390,715 as per the given fractions.
GCF of 390,715 is 65 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,39
Given numbers has no common factors except 1. So, there LCM is their product i.e 624
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 16,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,39) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,39) x common factors =1 x 1 = 1
LCM(16,39) = ( 16 × 39 ) / 1
LCM(16,39) = 624 / 1
LCM(16,39) = 624
Lets's calculate GCF of 390,715
5 | 390, 715 |
13 | 78, 143 |
6, 11 |
∴ So the GCF of the given numbers is 5 x 13 = 65
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 624/65
Therefore the LCM of Fractions 16/390,39/715 is 624/65
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 715
List of positive integer factors of 715 that divides 715 without a remainder.
1,5,11,13,55,65,143,715
Greatest Common Factor
We found the factors 390,715 . The biggest common factor number is the GCF number.
So the greatest common factor 390,715 is 65.
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 16/390, 39/715?
Answer: LCM of Numerators as per given numbers 16/390, 39/715 is
LCM of Numerators i.e. for 16,39 is 624
GCF of denominators i.e. for 390,715 is 65.
Thus, LCM of Fractions is 624/65.Finally, LCM of Fractions for 16/390, 39/715 is 624/65.