Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/73, 27/72, 62/96, 63/236 quickly i.e. 691362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/73, 27/72, 62/96, 63/236 is 691362.
LCM(59/73, 27/72, 62/96, 63/236) = 691362
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/73,27/72,62/96,63/236
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 59,27,62,63
Least Common Multiple of Numerators i.e. LCM of 59,27,62,63 is 691362.
GCF of Denominators means GCF of 73,72,96,236 as per the given fractions.
GCF of 73,72,96,236 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,27,62,63
3 | 59, 27, 62, 63 |
3 | 59, 9, 62, 21 |
59, 3, 62, 7 |
∴ So the LCM of the given numbers is 3 x 3 x 59 x 3 x 62 x 7 = 691362
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 59,27,62,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,27,62,63) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(59,27,62,63) x common factors =1 x 9 = 9
LCM(59,27,62,63) = ( 59 × 27 × 62 × 63 ) / 9
LCM(59,27,62,63) = 6222258 / 9
LCM(59,27,62,63) = 691362
Lets's calculate GCF of 73,72,96,236
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 691362/1
Therefore the LCM of Fractions 59/73,27/72,62/96,63/236 is 691362
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Greatest Common Factor
We found the factors 73,72,96,236 . The biggest common factor number is the GCF number.
So the greatest common factor 73,72,96,236 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 59/73, 27/72, 62/96, 63/236?
Answer: LCM of Numerators as per given numbers 59/73, 27/72, 62/96, 63/236 is
LCM of Numerators i.e. for 59,27,62,63 is 691362
GCF of denominators i.e. for 73,72,96,236 is 1.
Thus, LCM of Fractions is 691362.Finally, LCM of Fractions for 59/73, 27/72, 62/96, 63/236 is 691362.