Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 115/441, 1849/495 quickly i.e. 212635/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 115/441, 1849/495 is 212635/9.
LCM(115/441, 1849/495) = 212635/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 115/441,1849/495
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 115,1849
Least Common Multiple of Numerators i.e. LCM of 115,1849 is 212635.
GCF of Denominators means GCF of 441,495 as per the given fractions.
GCF of 441,495 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 115,1849
Given numbers has no common factors except 1. So, there LCM is their product i.e 212635
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 115,1849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,1849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,1849) x common factors =1 x 1 = 1
LCM(115,1849) = ( 115 × 1849 ) / 1
LCM(115,1849) = 212635 / 1
LCM(115,1849) = 212635
Lets's calculate GCF of 441,495
3 | 441, 495 |
3 | 147, 165 |
49, 55 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212635/9
Therefore the LCM of Fractions 115/441,1849/495 is 212635/9
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 441,495 . The biggest common factor number is the GCF number.
So the greatest common factor 441,495 is 9.
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 115/441, 1849/495?
Answer: LCM of Numerators as per given numbers 115/441, 1849/495 is
LCM of Numerators i.e. for 115,1849 is 212635
GCF of denominators i.e. for 441,495 is 9.
Thus, LCM of Fractions is 212635/9.Finally, LCM of Fractions for 115/441, 1849/495 is 212635/9.