Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/987, 540/586, 828/816 quickly i.e. 12420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/987, 540/586, 828/816 is 12420.
LCM(30/987, 540/586, 828/816) = 12420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/987,540/586,828/816
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 30,540,828
Least Common Multiple of Numerators i.e. LCM of 30,540,828 is 12420.
GCF of Denominators means GCF of 987,586,816 as per the given fractions.
GCF of 987,586,816 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,540,828
2 | 30, 540, 828 |
2 | 15, 270, 414 |
3 | 15, 135, 207 |
3 | 5, 45, 69 |
5 | 5, 15, 23 |
1, 3, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 3 x 23 = 12420
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 30,540,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,540,828) = 6
common factors(in case of two or more numbers have common factors) = 180
GCF(30,540,828) x common factors =6 x 180 = 1080
LCM(30,540,828) = ( 30 × 540 × 828 ) / 1080
LCM(30,540,828) = 13413600 / 1080
LCM(30,540,828) = 12420
Lets's calculate GCF of 987,586,816
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12420/1
Therefore the LCM of Fractions 30/987,540/586,828/816 is 12420
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Greatest Common Factor
We found the factors 987,586,816 . The biggest common factor number is the GCF number.
So the greatest common factor 987,586,816 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 30/987, 540/586, 828/816?
Answer: LCM of Numerators as per given numbers 30/987, 540/586, 828/816 is
LCM of Numerators i.e. for 30,540,828 is 12420
GCF of denominators i.e. for 987,586,816 is 1.
Thus, LCM of Fractions is 12420.Finally, LCM of Fractions for 30/987, 540/586, 828/816 is 12420.