Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 441/46, 990/2997 quickly i.e. 48510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 441/46, 990/2997 is 48510.
LCM(441/46, 990/2997) = 48510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 441/46,990/2997
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 441,990
Least Common Multiple of Numerators i.e. LCM of 441,990 is 48510.
GCF of Denominators means GCF of 46,2997 as per the given fractions.
GCF of 46,2997 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 441,990
3 | 441, 990 |
3 | 147, 330 |
49, 110 |
∴ So the LCM of the given numbers is 3 x 3 x 49 x 110 = 48510
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 441,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,990) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(441,990) x common factors =9 x 1 = 9
LCM(441,990) = ( 441 × 990 ) / 9
LCM(441,990) = 436590 / 9
LCM(441,990) = 48510
Lets's calculate GCF of 46,2997
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48510/1
Therefore the LCM of Fractions 441/46,990/2997 is 48510
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 2997
List of positive integer factors of 2997 that divides 2997 without a remainder.
1,3,9,27,37,81,111,333,999,2997
Greatest Common Factor
We found the factors 46,2997 . The biggest common factor number is the GCF number.
So the greatest common factor 46,2997 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 441/46, 990/2997?
Answer: LCM of Numerators as per given numbers 441/46, 990/2997 is
LCM of Numerators i.e. for 441,990 is 48510
GCF of denominators i.e. for 46,2997 is 1.
Thus, LCM of Fractions is 48510.Finally, LCM of Fractions for 441/46, 990/2997 is 48510.