Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 204/715, 1632/3110 quickly i.e. 1632/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 204/715, 1632/3110 is 1632/5.
LCM(204/715, 1632/3110) = 1632/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 204/715,1632/3110
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 204,1632
Least Common Multiple of Numerators i.e. LCM of 204,1632 is 1632.
GCF of Denominators means GCF of 715,3110 as per the given fractions.
GCF of 715,3110 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 204,1632
2 | 204, 1632 |
2 | 102, 816 |
3 | 51, 408 |
17 | 17, 136 |
1, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 1 x 8 = 1632
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 204,1632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,1632) = 204
common factors(in case of two or more numbers have common factors) = 1
GCF(204,1632) x common factors =204 x 1 = 204
LCM(204,1632) = ( 204 × 1632 ) / 204
LCM(204,1632) = 332928 / 204
LCM(204,1632) = 1632
Lets's calculate GCF of 715,3110
5 | 715, 3110 |
143, 622 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1632/5
Therefore the LCM of Fractions 204/715,1632/3110 is 1632/5
Factors of 715
List of positive integer factors of 715 that divides 715 without a remainder.
1,5,11,13,55,65,143,715
Factors of 3110
List of positive integer factors of 3110 that divides 3110 without a remainder.
1,2,5,10,311,622,1555,3110
Greatest Common Factor
We found the factors 715,3110 . The biggest common factor number is the GCF number.
So the greatest common factor 715,3110 is 5.
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 204/715, 1632/3110?
Answer: LCM of Numerators as per given numbers 204/715, 1632/3110 is
LCM of Numerators i.e. for 204,1632 is 1632
GCF of denominators i.e. for 715,3110 is 5.
Thus, LCM of Fractions is 1632/5.Finally, LCM of Fractions for 204/715, 1632/3110 is 1632/5.