Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/183, 558/290, 135/143 quickly i.e. 393390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/183, 558/290, 135/143 is 393390.
LCM(47/183, 558/290, 135/143) = 393390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/183,558/290,135/143
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 47,558,135
Least Common Multiple of Numerators i.e. LCM of 47,558,135 is 393390.
GCF of Denominators means GCF of 183,290,143 as per the given fractions.
GCF of 183,290,143 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,558,135
3 | 47, 558, 135 |
3 | 47, 186, 45 |
47, 62, 15 |
∴ So the LCM of the given numbers is 3 x 3 x 47 x 62 x 15 = 393390
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 47,558,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,558,135) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(47,558,135) x common factors =1 x 9 = 9
LCM(47,558,135) = ( 47 × 558 × 135 ) / 9
LCM(47,558,135) = 3540510 / 9
LCM(47,558,135) = 393390
Lets's calculate GCF of 183,290,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 393390/1
Therefore the LCM of Fractions 47/183,558/290,135/143 is 393390
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors 183,290,143 . The biggest common factor number is the GCF number.
So the greatest common factor 183,290,143 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 47/183, 558/290, 135/143?
Answer: LCM of Numerators as per given numbers 47/183, 558/290, 135/143 is
LCM of Numerators i.e. for 47,558,135 is 393390
GCF of denominators i.e. for 183,290,143 is 1.
Thus, LCM of Fractions is 393390.Finally, LCM of Fractions for 47/183, 558/290, 135/143 is 393390.