Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6243/735, 3841/966 quickly i.e. 23979363/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6243/735, 3841/966 is 23979363/21.
LCM(6243/735, 3841/966) = 23979363/21
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6243/735,3841/966
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 6243,3841
Least Common Multiple of Numerators i.e. LCM of 6243,3841 is 23979363.
GCF of Denominators means GCF of 735,966 as per the given fractions.
GCF of 735,966 is 21 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6243,3841
Given numbers has no common factors except 1. So, there LCM is their product i.e 23979363
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 6243,3841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6243,3841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6243,3841) x common factors =1 x 1 = 1
LCM(6243,3841) = ( 6243 × 3841 ) / 1
LCM(6243,3841) = 23979363 / 1
LCM(6243,3841) = 23979363
Lets's calculate GCF of 735,966
3 | 735, 966 |
7 | 245, 322 |
35, 46 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23979363/21
Therefore the LCM of Fractions 6243/735,3841/966 is 23979363/21
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors 735,966 . The biggest common factor number is the GCF number.
So the greatest common factor 735,966 is 21.
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 6243/735, 3841/966?
Answer: LCM of Numerators as per given numbers 6243/735, 3841/966 is
LCM of Numerators i.e. for 6243,3841 is 23979363
GCF of denominators i.e. for 735,966 is 21.
Thus, LCM of Fractions is 23979363/21.Finally, LCM of Fractions for 6243/735, 3841/966 is 23979363/21.