Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/30, 59/11, 72/738 quickly i.e. 276120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/30, 59/11, 72/738 is 276120.
LCM(65/30, 59/11, 72/738) = 276120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/30,59/11,72/738
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 65,59,72
Least Common Multiple of Numerators i.e. LCM of 65,59,72 is 276120.
GCF of Denominators means GCF of 30,11,738 as per the given fractions.
GCF of 30,11,738 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,59,72
Given numbers has no common factors except 1. So, there LCM is their product i.e 276120
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 65,59,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,59,72) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,59,72) x common factors =1 x 1 = 1
LCM(65,59,72) = ( 65 × 59 × 72 ) / 1
LCM(65,59,72) = 276120 / 1
LCM(65,59,72) = 276120
Lets's calculate GCF of 30,11,738
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276120/1
Therefore the LCM of Fractions 65/30,59/11,72/738 is 276120
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 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Greatest Common Factor
We found the factors 30,11,738 . The biggest common factor number is the GCF number.
So the greatest common factor 30,11,738 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 65/30, 59/11, 72/738?
Answer: LCM of Numerators as per given numbers 65/30, 59/11, 72/738 is
LCM of Numerators i.e. for 65,59,72 is 276120
GCF of denominators i.e. for 30,11,738 is 1.
Thus, LCM of Fractions is 276120.Finally, LCM of Fractions for 65/30, 59/11, 72/738 is 276120.