Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 136/66, 817/6366 quickly i.e. 111112/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 136/66, 817/6366 is 111112/6.
LCM(136/66, 817/6366) = 111112/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 136/66,817/6366
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 136,817
Least Common Multiple of Numerators i.e. LCM of 136,817 is 111112.
GCF of Denominators means GCF of 66,6366 as per the given fractions.
GCF of 66,6366 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 136,817
Given numbers has no common factors except 1. So, there LCM is their product i.e 111112
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 136,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(136,817) x common factors =1 x 1 = 1
LCM(136,817) = ( 136 × 817 ) / 1
LCM(136,817) = 111112 / 1
LCM(136,817) = 111112
Lets's calculate GCF of 66,6366
2 | 66, 6366 |
3 | 33, 3183 |
11, 1061 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111112/6
Therefore the LCM of Fractions 136/66,817/6366 is 111112/6
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 6366
List of positive integer factors of 6366 that divides 6366 without a remainder.
1,2,3,6,1061,2122,3183,6366
Greatest Common Factor
We found the factors 66,6366 . The biggest common factor number is the GCF number.
So the greatest common factor 66,6366 is 6.
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 136/66, 817/6366?
Answer: LCM of Numerators as per given numbers 136/66, 817/6366 is
LCM of Numerators i.e. for 136,817 is 111112
GCF of denominators i.e. for 66,6366 is 6.
Thus, LCM of Fractions is 111112/6.Finally, LCM of Fractions for 136/66, 817/6366 is 111112/6.