Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 395/18, 822/1461 quickly i.e. 108230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 395/18, 822/1461 is 108230.
LCM(395/18, 822/1461) = 108230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 395/18,822/1461
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 395,822
Least Common Multiple of Numerators i.e. LCM of 395,822 is 324690.
GCF of Denominators means GCF of 18,1461 as per the given fractions.
GCF of 18,1461 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 395,822
Given numbers has no common factors except 1. So, there LCM is their product i.e 324690
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 395,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,822) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(395,822) x common factors =1 x 1 = 1
LCM(395,822) = ( 395 × 822 ) / 1
LCM(395,822) = 324690 / 1
LCM(395,822) = 324690
Lets's calculate GCF of 18,1461
3 | 18, 1461 |
6, 487 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 324690/3
Therefore the LCM of Fractions 395/18,822/1461 is 108230
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 1461
List of positive integer factors of 1461 that divides 1461 without a remainder.
1,3,487,1461
Greatest Common Factor
We found the factors 18,1461 . The biggest common factor number is the GCF number.
So the greatest common factor 18,1461 is 3.
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 395/18, 822/1461?
Answer: LCM of Numerators as per given numbers 395/18, 822/1461 is
LCM of Numerators i.e. for 395,822 is 324690
GCF of denominators i.e. for 18,1461 is 3.
Thus, LCM of Fractions is 108230.Finally, LCM of Fractions for 395/18, 822/1461 is 108230.