Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/159, 84/587, 388/442 quickly i.e. 594804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/159, 84/587, 388/442 is 594804.
LCM(73/159, 84/587, 388/442) = 594804
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/159,84/587,388/442
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 73,84,388
Least Common Multiple of Numerators i.e. LCM of 73,84,388 is 594804.
GCF of Denominators means GCF of 159,587,442 as per the given fractions.
GCF of 159,587,442 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,84,388
2 | 73, 84, 388 |
2 | 73, 42, 194 |
73, 21, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 73 x 21 x 97 = 594804
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 73,84,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,84,388) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(73,84,388) x common factors =1 x 4 = 4
LCM(73,84,388) = ( 73 × 84 × 388 ) / 4
LCM(73,84,388) = 2379216 / 4
LCM(73,84,388) = 594804
Lets's calculate GCF of 159,587,442
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 594804/1
Therefore the LCM of Fractions 73/159,84/587,388/442 is 594804
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 159,587,442 . The biggest common factor number is the GCF number.
So the greatest common factor 159,587,442 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 73/159, 84/587, 388/442?
Answer: LCM of Numerators as per given numbers 73/159, 84/587, 388/442 is
LCM of Numerators i.e. for 73,84,388 is 594804
GCF of denominators i.e. for 159,587,442 is 1.
Thus, LCM of Fractions is 594804.Finally, LCM of Fractions for 73/159, 84/587, 388/442 is 594804.