Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/359, 4804/9326 quickly i.e. 14412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/359, 4804/9326 is 14412.
LCM(12/359, 4804/9326) = 14412
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/359,4804/9326
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 12,4804
Least Common Multiple of Numerators i.e. LCM of 12,4804 is 14412.
GCF of Denominators means GCF of 359,9326 as per the given fractions.
GCF of 359,9326 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,4804
2 | 12, 4804 |
2 | 6, 2402 |
3, 1201 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1201 = 14412
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 12,4804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,4804) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(12,4804) x common factors =4 x 1 = 4
LCM(12,4804) = ( 12 × 4804 ) / 4
LCM(12,4804) = 57648 / 4
LCM(12,4804) = 14412
Lets's calculate GCF of 359,9326
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14412/1
Therefore the LCM of Fractions 12/359,4804/9326 is 14412
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Factors of 9326
List of positive integer factors of 9326 that divides 9326 without a remainder.
1,2,4663,9326
Greatest Common Factor
We found the factors 359,9326 . The biggest common factor number is the GCF number.
So the greatest common factor 359,9326 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 12/359, 4804/9326?
Answer: LCM of Numerators as per given numbers 12/359, 4804/9326 is
LCM of Numerators i.e. for 12,4804 is 14412
GCF of denominators i.e. for 359,9326 is 1.
Thus, LCM of Fractions is 14412.Finally, LCM of Fractions for 12/359, 4804/9326 is 14412.