Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 144/31, 621/66, 366/67 quickly i.e. 606096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 144/31, 621/66, 366/67 is 606096.
LCM(144/31, 621/66, 366/67) = 606096
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 144/31,621/66,366/67
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 144,621,366
Least Common Multiple of Numerators i.e. LCM of 144,621,366 is 606096.
GCF of Denominators means GCF of 31,66,67 as per the given fractions.
GCF of 31,66,67 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 144,621,366
2 | 144, 621, 366 |
3 | 72, 621, 183 |
3 | 24, 207, 61 |
8, 69, 61 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 8 x 69 x 61 = 606096
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 144,621,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,621,366) = 3
common factors(in case of two or more numbers have common factors) = 18
GCF(144,621,366) x common factors =3 x 18 = 54
LCM(144,621,366) = ( 144 × 621 × 366 ) / 54
LCM(144,621,366) = 32729184 / 54
LCM(144,621,366) = 606096
Lets's calculate GCF of 31,66,67
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 606096/1
Therefore the LCM of Fractions 144/31,621/66,366/67 is 606096
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Greatest Common Factor
We found the factors 31,66,67 . The biggest common factor number is the GCF number.
So the greatest common factor 31,66,67 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 144/31, 621/66, 366/67?
Answer: LCM of Numerators as per given numbers 144/31, 621/66, 366/67 is
LCM of Numerators i.e. for 144,621,366 is 606096
GCF of denominators i.e. for 31,66,67 is 1.
Thus, LCM of Fractions is 606096.Finally, LCM of Fractions for 144/31, 621/66, 366/67 is 606096.