Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/30, 36/23, 62/81, 99/632 quickly i.e. 896148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/30, 36/23, 62/81, 99/632 is 896148.
LCM(73/30, 36/23, 62/81, 99/632) = 896148
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/30,36/23,62/81,99/632
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 73,36,62,99
Least Common Multiple of Numerators i.e. LCM of 73,36,62,99 is 896148.
GCF of Denominators means GCF of 30,23,81,632 as per the given fractions.
GCF of 30,23,81,632 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,36,62,99
2 | 73, 36, 62, 99 |
3 | 73, 18, 31, 99 |
3 | 73, 6, 31, 33 |
73, 2, 31, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 73 x 2 x 31 x 11 = 896148
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 73,36,62,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,36,62,99) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(73,36,62,99) x common factors =1 x 18 = 18
LCM(73,36,62,99) = ( 73 × 36 × 62 × 99 ) / 18
LCM(73,36,62,99) = 16130664 / 18
LCM(73,36,62,99) = 896148
Lets's calculate GCF of 30,23,81,632
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 896148/1
Therefore the LCM of Fractions 73/30,36/23,62/81,99/632 is 896148
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Greatest Common Factor
We found the factors 30,23,81,632 . The biggest common factor number is the GCF number.
So the greatest common factor 30,23,81,632 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 73/30, 36/23, 62/81, 99/632?
Answer: LCM of Numerators as per given numbers 73/30, 36/23, 62/81, 99/632 is
LCM of Numerators i.e. for 73,36,62,99 is 896148
GCF of denominators i.e. for 30,23,81,632 is 1.
Thus, LCM of Fractions is 896148.Finally, LCM of Fractions for 73/30, 36/23, 62/81, 99/632 is 896148.