Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8042/317, 8636/4363 quickly i.e. 34725356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8042/317, 8636/4363 is 34725356.
LCM(8042/317, 8636/4363) = 34725356
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8042/317,8636/4363
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 8042,8636
Least Common Multiple of Numerators i.e. LCM of 8042,8636 is 34725356.
GCF of Denominators means GCF of 317,4363 as per the given fractions.
GCF of 317,4363 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8042,8636
2 | 8042, 8636 |
4021, 4318 |
∴ So the LCM of the given numbers is 2 x 4021 x 4318 = 34725356
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 8042,8636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8042,8636) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8042,8636) x common factors =2 x 1 = 2
LCM(8042,8636) = ( 8042 × 8636 ) / 2
LCM(8042,8636) = 69450712 / 2
LCM(8042,8636) = 34725356
Lets's calculate GCF of 317,4363
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34725356/1
Therefore the LCM of Fractions 8042/317,8636/4363 is 34725356
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Factors of 4363
List of positive integer factors of 4363 that divides 4363 without a remainder.
1,4363
Greatest Common Factor
We found the factors 317,4363 . The biggest common factor number is the GCF number.
So the greatest common factor 317,4363 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 8042/317, 8636/4363?
Answer: LCM of Numerators as per given numbers 8042/317, 8636/4363 is
LCM of Numerators i.e. for 8042,8636 is 34725356
GCF of denominators i.e. for 317,4363 is 1.
Thus, LCM of Fractions is 34725356.Finally, LCM of Fractions for 8042/317, 8636/4363 is 34725356.