Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 735/39, 352/6303 quickly i.e. 86240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 735/39, 352/6303 is 86240.
LCM(735/39, 352/6303) = 86240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 735/39,352/6303
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 735,352
Least Common Multiple of Numerators i.e. LCM of 735,352 is 258720.
GCF of Denominators means GCF of 39,6303 as per the given fractions.
GCF of 39,6303 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 735,352
Given numbers has no common factors except 1. So, there LCM is their product i.e 258720
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 735,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,352) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(735,352) x common factors =1 x 1 = 1
LCM(735,352) = ( 735 × 352 ) / 1
LCM(735,352) = 258720 / 1
LCM(735,352) = 258720
Lets's calculate GCF of 39,6303
3 | 39, 6303 |
13, 2101 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258720/3
Therefore the LCM of Fractions 735/39,352/6303 is 86240
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 6303
List of positive integer factors of 6303 that divides 6303 without a remainder.
1,3,11,33,191,573,2101,6303
Greatest Common Factor
We found the factors 39,6303 . The biggest common factor number is the GCF number.
So the greatest common factor 39,6303 is 3.
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 735/39, 352/6303?
Answer: LCM of Numerators as per given numbers 735/39, 352/6303 is
LCM of Numerators i.e. for 735,352 is 258720
GCF of denominators i.e. for 39,6303 is 3.
Thus, LCM of Fractions is 86240.Finally, LCM of Fractions for 735/39, 352/6303 is 86240.