Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3065/652, 3308/385 quickly i.e. 10139020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3065/652, 3308/385 is 10139020.
LCM(3065/652, 3308/385) = 10139020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3065/652,3308/385
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 3065,3308
Least Common Multiple of Numerators i.e. LCM of 3065,3308 is 10139020.
GCF of Denominators means GCF of 652,385 as per the given fractions.
GCF of 652,385 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3065,3308
Given numbers has no common factors except 1. So, there LCM is their product i.e 10139020
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 3065,3308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3065,3308) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3065,3308) x common factors =1 x 1 = 1
LCM(3065,3308) = ( 3065 × 3308 ) / 1
LCM(3065,3308) = 10139020 / 1
LCM(3065,3308) = 10139020
Lets's calculate GCF of 652,385
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10139020/1
Therefore the LCM of Fractions 3065/652,3308/385 is 10139020
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 652,385 . The biggest common factor number is the GCF number.
So the greatest common factor 652,385 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 3065/652, 3308/385?
Answer: LCM of Numerators as per given numbers 3065/652, 3308/385 is
LCM of Numerators i.e. for 3065,3308 is 10139020
GCF of denominators i.e. for 652,385 is 1.
Thus, LCM of Fractions is 10139020.Finally, LCM of Fractions for 3065/652, 3308/385 is 10139020.