Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3388/755, 9598/4106 quickly i.e. 16259012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3388/755, 9598/4106 is 16259012.
LCM(3388/755, 9598/4106) = 16259012
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3388/755,9598/4106
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 3388,9598
Least Common Multiple of Numerators i.e. LCM of 3388,9598 is 16259012.
GCF of Denominators means GCF of 755,4106 as per the given fractions.
GCF of 755,4106 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3388,9598
2 | 3388, 9598 |
1694, 4799 |
∴ So the LCM of the given numbers is 2 x 1694 x 4799 = 16259012
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 3388,9598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3388,9598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3388,9598) x common factors =2 x 1 = 2
LCM(3388,9598) = ( 3388 × 9598 ) / 2
LCM(3388,9598) = 32518024 / 2
LCM(3388,9598) = 16259012
Lets's calculate GCF of 755,4106
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16259012/1
Therefore the LCM of Fractions 3388/755,9598/4106 is 16259012
Factors of 755
List of positive integer factors of 755 that divides 755 without a remainder.
1,5,151,755
Factors of 4106
List of positive integer factors of 4106 that divides 4106 without a remainder.
1,2,2053,4106
Greatest Common Factor
We found the factors 755,4106 . The biggest common factor number is the GCF number.
So the greatest common factor 755,4106 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 3388/755, 9598/4106?
Answer: LCM of Numerators as per given numbers 3388/755, 9598/4106 is
LCM of Numerators i.e. for 3388,9598 is 16259012
GCF of denominators i.e. for 755,4106 is 1.
Thus, LCM of Fractions is 16259012.Finally, LCM of Fractions for 3388/755, 9598/4106 is 16259012.