Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2433/41, 4639/697 quickly i.e. 11286687/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2433/41, 4639/697 is 11286687/41.
LCM(2433/41, 4639/697) = 11286687/41
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2433/41,4639/697
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 2433,4639
Least Common Multiple of Numerators i.e. LCM of 2433,4639 is 11286687.
GCF of Denominators means GCF of 41,697 as per the given fractions.
GCF of 41,697 is 41 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2433,4639
Given numbers has no common factors except 1. So, there LCM is their product i.e 11286687
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 2433,4639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2433,4639) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2433,4639) x common factors =1 x 1 = 1
LCM(2433,4639) = ( 2433 × 4639 ) / 1
LCM(2433,4639) = 11286687 / 1
LCM(2433,4639) = 11286687
Lets's calculate GCF of 41,697
41 | 41, 697 |
1, 17 |
∴ So the GCF of the given numbers is 41 = 41
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11286687/41
Therefore the LCM of Fractions 2433/41,4639/697 is 11286687/41
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Greatest Common Factor
We found the factors 41,697 . The biggest common factor number is the GCF number.
So the greatest common factor 41,697 is 41.
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 2433/41, 4639/697?
Answer: LCM of Numerators as per given numbers 2433/41, 4639/697 is
LCM of Numerators i.e. for 2433,4639 is 11286687
GCF of denominators i.e. for 41,697 is 41.
Thus, LCM of Fractions is 11286687/41.Finally, LCM of Fractions for 2433/41, 4639/697 is 11286687/41.