Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 444/145, 555/163, 324/613 quickly i.e. 59940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 444/145, 555/163, 324/613 is 59940.
LCM(444/145, 555/163, 324/613) = 59940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 444/145,555/163,324/613
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 444,555,324
Least Common Multiple of Numerators i.e. LCM of 444,555,324 is 59940.
GCF of Denominators means GCF of 145,163,613 as per the given fractions.
GCF of 145,163,613 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 444,555,324
2 | 444, 555, 324 |
2 | 222, 555, 162 |
3 | 111, 555, 81 |
37 | 37, 185, 27 |
1, 5, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 1 x 5 x 27 = 59940
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 444,555,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,555,324) = 3
common factors(in case of two or more numbers have common factors) = 444
GCF(444,555,324) x common factors =3 x 444 = 1332
LCM(444,555,324) = ( 444 × 555 × 324 ) / 1332
LCM(444,555,324) = 79840080 / 1332
LCM(444,555,324) = 59940
Lets's calculate GCF of 145,163,613
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59940/1
Therefore the LCM of Fractions 444/145,555/163,324/613 is 59940
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Factors of 613
List of positive integer factors of 613 that divides 613 without a remainder.
1,613
Greatest Common Factor
We found the factors 145,163,613 . The biggest common factor number is the GCF number.
So the greatest common factor 145,163,613 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 444/145, 555/163, 324/613?
Answer: LCM of Numerators as per given numbers 444/145, 555/163, 324/613 is
LCM of Numerators i.e. for 444,555,324 is 59940
GCF of denominators i.e. for 145,163,613 is 1.
Thus, LCM of Fractions is 59940.Finally, LCM of Fractions for 444/145, 555/163, 324/613 is 59940.