Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 463/87, 476/2236 quickly i.e. 220388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 463/87, 476/2236 is 220388.
LCM(463/87, 476/2236) = 220388
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 463/87,476/2236
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 463,476
Least Common Multiple of Numerators i.e. LCM of 463,476 is 220388.
GCF of Denominators means GCF of 87,2236 as per the given fractions.
GCF of 87,2236 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 463,476
Given numbers has no common factors except 1. So, there LCM is their product i.e 220388
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 463,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,476) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,476) x common factors =1 x 1 = 1
LCM(463,476) = ( 463 × 476 ) / 1
LCM(463,476) = 220388 / 1
LCM(463,476) = 220388
Lets's calculate GCF of 87,2236
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220388/1
Therefore the LCM of Fractions 463/87,476/2236 is 220388
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 2236
List of positive integer factors of 2236 that divides 2236 without a remainder.
1,2,4,13,26,43,52,86,172,559,1118,2236
Greatest Common Factor
We found the factors 87,2236 . The biggest common factor number is the GCF number.
So the greatest common factor 87,2236 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 463/87, 476/2236?
Answer: LCM of Numerators as per given numbers 463/87, 476/2236 is
LCM of Numerators i.e. for 463,476 is 220388
GCF of denominators i.e. for 87,2236 is 1.
Thus, LCM of Fractions is 220388.Finally, LCM of Fractions for 463/87, 476/2236 is 220388.