Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/66, 684/60, 986/861 quickly i.e. 112404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/66, 684/60, 986/861 is 112404.
LCM(12/66, 684/60, 986/861) = 112404
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/66,684/60,986/861
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 12,684,986
Least Common Multiple of Numerators i.e. LCM of 12,684,986 is 337212.
GCF of Denominators means GCF of 66,60,861 as per the given fractions.
GCF of 66,60,861 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,684,986
2 | 12, 684, 986 |
2 | 6, 342, 493 |
3 | 3, 171, 493 |
1, 57, 493 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 57 x 493 = 337212
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 12,684,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,684,986) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(12,684,986) x common factors =2 x 12 = 24
LCM(12,684,986) = ( 12 × 684 × 986 ) / 24
LCM(12,684,986) = 8093088 / 24
LCM(12,684,986) = 337212
Lets's calculate GCF of 66,60,861
3 | 66, 60, 861 |
22, 20, 287 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 337212/3
Therefore the LCM of Fractions 12/66,684/60,986/861 is 112404
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Greatest Common Factor
We found the factors 66,60,861 . The biggest common factor number is the GCF number.
So the greatest common factor 66,60,861 is 3.
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 12/66, 684/60, 986/861?
Answer: LCM of Numerators as per given numbers 12/66, 684/60, 986/861 is
LCM of Numerators i.e. for 12,684,986 is 337212
GCF of denominators i.e. for 66,60,861 is 3.
Thus, LCM of Fractions is 112404.Finally, LCM of Fractions for 12/66, 684/60, 986/861 is 112404.