Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 289/24, 647/72, 185/388 quickly i.e. 34591855/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 289/24, 647/72, 185/388 is 34591855/4.
LCM(289/24, 647/72, 185/388) = 34591855/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 289/24,647/72,185/388
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 289,647,185
Least Common Multiple of Numerators i.e. LCM of 289,647,185 is 34591855.
GCF of Denominators means GCF of 24,72,388 as per the given fractions.
GCF of 24,72,388 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 289,647,185
Given numbers has no common factors except 1. So, there LCM is their product i.e 34591855
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 289,647,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,647,185) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,647,185) x common factors =1 x 1 = 1
LCM(289,647,185) = ( 289 × 647 × 185 ) / 1
LCM(289,647,185) = 34591855 / 1
LCM(289,647,185) = 34591855
Lets's calculate GCF of 24,72,388
2 | 24, 72, 388 |
2 | 12, 36, 194 |
6, 18, 97 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34591855/4
Therefore the LCM of Fractions 289/24,647/72,185/388 is 34591855/4
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
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 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Greatest Common Factor
We found the factors 24,72,388 . The biggest common factor number is the GCF number.
So the greatest common factor 24,72,388 is 4.
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 289/24, 647/72, 185/388?
Answer: LCM of Numerators as per given numbers 289/24, 647/72, 185/388 is
LCM of Numerators i.e. for 289,647,185 is 34591855
GCF of denominators i.e. for 24,72,388 is 4.
Thus, LCM of Fractions is 34591855/4.Finally, LCM of Fractions for 289/24, 647/72, 185/388 is 34591855/4.