Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/15, 27/195, 878/649 quickly i.e. 260766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/15, 27/195, 878/649 is 260766.
LCM(66/15, 27/195, 878/649) = 260766
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/15,27/195,878/649
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 66,27,878
Least Common Multiple of Numerators i.e. LCM of 66,27,878 is 260766.
GCF of Denominators means GCF of 15,195,649 as per the given fractions.
GCF of 15,195,649 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,27,878
2 | 66, 27, 878 |
3 | 33, 27, 439 |
11, 9, 439 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 9 x 439 = 260766
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 66,27,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,27,878) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(66,27,878) x common factors =1 x 6 = 6
LCM(66,27,878) = ( 66 × 27 × 878 ) / 6
LCM(66,27,878) = 1564596 / 6
LCM(66,27,878) = 260766
Lets's calculate GCF of 15,195,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260766/1
Therefore the LCM of Fractions 66/15,27/195,878/649 is 260766
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 15,195,649 . The biggest common factor number is the GCF number.
So the greatest common factor 15,195,649 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 66/15, 27/195, 878/649?
Answer: LCM of Numerators as per given numbers 66/15, 27/195, 878/649 is
LCM of Numerators i.e. for 66,27,878 is 260766
GCF of denominators i.e. for 15,195,649 is 1.
Thus, LCM of Fractions is 260766.Finally, LCM of Fractions for 66/15, 27/195, 878/649 is 260766.