Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 385/99, 339/9032 quickly i.e. 130515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 385/99, 339/9032 is 130515.
LCM(385/99, 339/9032) = 130515
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 385/99,339/9032
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 385,339
Least Common Multiple of Numerators i.e. LCM of 385,339 is 130515.
GCF of Denominators means GCF of 99,9032 as per the given fractions.
GCF of 99,9032 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 385,339
Given numbers has no common factors except 1. So, there LCM is their product i.e 130515
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 385,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(385,339) x common factors =1 x 1 = 1
LCM(385,339) = ( 385 × 339 ) / 1
LCM(385,339) = 130515 / 1
LCM(385,339) = 130515
Lets's calculate GCF of 99,9032
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130515/1
Therefore the LCM of Fractions 385/99,339/9032 is 130515
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 9032
List of positive integer factors of 9032 that divides 9032 without a remainder.
1,2,4,8,1129,2258,4516,9032
Greatest Common Factor
We found the factors 99,9032 . The biggest common factor number is the GCF number.
So the greatest common factor 99,9032 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 385/99, 339/9032?
Answer: LCM of Numerators as per given numbers 385/99, 339/9032 is
LCM of Numerators i.e. for 385,339 is 130515
GCF of denominators i.e. for 99,9032 is 1.
Thus, LCM of Fractions is 130515.Finally, LCM of Fractions for 385/99, 339/9032 is 130515.