Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/33, 58/38, 53/523 quickly i.e. 199810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/33, 58/38, 53/523 is 199810.
LCM(65/33, 58/38, 53/523) = 199810
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/33,58/38,53/523
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 65,58,53
Least Common Multiple of Numerators i.e. LCM of 65,58,53 is 199810.
GCF of Denominators means GCF of 33,38,523 as per the given fractions.
GCF of 33,38,523 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,58,53
Given numbers has no common factors except 1. So, there LCM is their product i.e 199810
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 65,58,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,58,53) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,58,53) x common factors =1 x 1 = 1
LCM(65,58,53) = ( 65 × 58 × 53 ) / 1
LCM(65,58,53) = 199810 / 1
LCM(65,58,53) = 199810
Lets's calculate GCF of 33,38,523
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199810/1
Therefore the LCM of Fractions 65/33,58/38,53/523 is 199810
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Greatest Common Factor
We found the factors 33,38,523 . The biggest common factor number is the GCF number.
So the greatest common factor 33,38,523 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 65/33, 58/38, 53/523?
Answer: LCM of Numerators as per given numbers 65/33, 58/38, 53/523 is
LCM of Numerators i.e. for 65,58,53 is 199810
GCF of denominators i.e. for 33,38,523 is 1.
Thus, LCM of Fractions is 199810.Finally, LCM of Fractions for 65/33, 58/38, 53/523 is 199810.