Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/66, 811/72, 327/892 quickly i.e. 17768199/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/66, 811/72, 327/892 is 17768199/2.
LCM(67/66, 811/72, 327/892) = 17768199/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/66,811/72,327/892
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 67,811,327
Least Common Multiple of Numerators i.e. LCM of 67,811,327 is 17768199.
GCF of Denominators means GCF of 66,72,892 as per the given fractions.
GCF of 66,72,892 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,811,327
Given numbers has no common factors except 1. So, there LCM is their product i.e 17768199
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 67,811,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,811,327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,811,327) x common factors =1 x 1 = 1
LCM(67,811,327) = ( 67 × 811 × 327 ) / 1
LCM(67,811,327) = 17768199 / 1
LCM(67,811,327) = 17768199
Lets's calculate GCF of 66,72,892
2 | 66, 72, 892 |
33, 36, 446 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17768199/2
Therefore the LCM of Fractions 67/66,811/72,327/892 is 17768199/2
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 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 892
List of positive integer factors of 892 that divides 892 without a remainder.
1,2,4,223,446,892
Greatest Common Factor
We found the factors 66,72,892 . The biggest common factor number is the GCF number.
So the greatest common factor 66,72,892 is 2.
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 67/66, 811/72, 327/892?
Answer: LCM of Numerators as per given numbers 67/66, 811/72, 327/892 is
LCM of Numerators i.e. for 67,811,327 is 17768199
GCF of denominators i.e. for 66,72,892 is 2.
Thus, LCM of Fractions is 17768199/2.Finally, LCM of Fractions for 67/66, 811/72, 327/892 is 17768199/2.