Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 732/834, 9363/704 quickly i.e. 1142286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 732/834, 9363/704 is 1142286.
LCM(732/834, 9363/704) = 1142286
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 732/834,9363/704
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 732,9363
Least Common Multiple of Numerators i.e. LCM of 732,9363 is 2284572.
GCF of Denominators means GCF of 834,704 as per the given fractions.
GCF of 834,704 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 732,9363
3 | 732, 9363 |
244, 3121 |
∴ So the LCM of the given numbers is 3 x 244 x 3121 = 2284572
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 732,9363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,9363) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(732,9363) x common factors =3 x 1 = 3
LCM(732,9363) = ( 732 × 9363 ) / 3
LCM(732,9363) = 6853716 / 3
LCM(732,9363) = 2284572
Lets's calculate GCF of 834,704
2 | 834, 704 |
417, 352 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2284572/2
Therefore the LCM of Fractions 732/834,9363/704 is 1142286
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors 834,704 . The biggest common factor number is the GCF number.
So the greatest common factor 834,704 is 2.
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 732/834, 9363/704?
Answer: LCM of Numerators as per given numbers 732/834, 9363/704 is
LCM of Numerators i.e. for 732,9363 is 2284572
GCF of denominators i.e. for 834,704 is 2.
Thus, LCM of Fractions is 1142286.Finally, LCM of Fractions for 732/834, 9363/704 is 1142286.