Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 590/183, 5987/468 quickly i.e. 3532330/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 590/183, 5987/468 is 3532330/3.
LCM(590/183, 5987/468) = 3532330/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 590/183,5987/468
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 590,5987
Least Common Multiple of Numerators i.e. LCM of 590,5987 is 3532330.
GCF of Denominators means GCF of 183,468 as per the given fractions.
GCF of 183,468 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 590,5987
Given numbers has no common factors except 1. So, there LCM is their product i.e 3532330
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 590,5987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,5987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(590,5987) x common factors =1 x 1 = 1
LCM(590,5987) = ( 590 × 5987 ) / 1
LCM(590,5987) = 3532330 / 1
LCM(590,5987) = 3532330
Lets's calculate GCF of 183,468
3 | 183, 468 |
61, 156 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3532330/3
Therefore the LCM of Fractions 590/183,5987/468 is 3532330/3
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 183,468 . The biggest common factor number is the GCF number.
So the greatest common factor 183,468 is 3.
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 590/183, 5987/468?
Answer: LCM of Numerators as per given numbers 590/183, 5987/468 is
LCM of Numerators i.e. for 590,5987 is 3532330
GCF of denominators i.e. for 183,468 is 3.
Thus, LCM of Fractions is 3532330/3.Finally, LCM of Fractions for 590/183, 5987/468 is 3532330/3.