Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/166, 15/207, 291/549 quickly i.e. 93120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/166, 15/207, 291/549 is 93120.
LCM(64/166, 15/207, 291/549) = 93120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/166,15/207,291/549
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 64,15,291
Least Common Multiple of Numerators i.e. LCM of 64,15,291 is 93120.
GCF of Denominators means GCF of 166,207,549 as per the given fractions.
GCF of 166,207,549 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,15,291
3 | 64, 15, 291 |
64, 5, 97 |
∴ So the LCM of the given numbers is 3 x 64 x 5 x 97 = 93120
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 64,15,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,15,291) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(64,15,291) x common factors =1 x 3 = 3
LCM(64,15,291) = ( 64 × 15 × 291 ) / 3
LCM(64,15,291) = 279360 / 3
LCM(64,15,291) = 93120
Lets's calculate GCF of 166,207,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93120/1
Therefore the LCM of Fractions 64/166,15/207,291/549 is 93120
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Greatest Common Factor
We found the factors 166,207,549 . The biggest common factor number is the GCF number.
So the greatest common factor 166,207,549 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 64/166, 15/207, 291/549?
Answer: LCM of Numerators as per given numbers 64/166, 15/207, 291/549 is
LCM of Numerators i.e. for 64,15,291 is 93120
GCF of denominators i.e. for 166,207,549 is 1.
Thus, LCM of Fractions is 93120.Finally, LCM of Fractions for 64/166, 15/207, 291/549 is 93120.