Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/845, 4531/8917 quickly i.e. 203895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/845, 4531/8917 is 203895.
LCM(45/845, 4531/8917) = 203895
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/845,4531/8917
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 45,4531
Least Common Multiple of Numerators i.e. LCM of 45,4531 is 203895.
GCF of Denominators means GCF of 845,8917 as per the given fractions.
GCF of 845,8917 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,4531
Given numbers has no common factors except 1. So, there LCM is their product i.e 203895
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 45,4531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,4531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,4531) x common factors =1 x 1 = 1
LCM(45,4531) = ( 45 × 4531 ) / 1
LCM(45,4531) = 203895 / 1
LCM(45,4531) = 203895
Lets's calculate GCF of 845,8917
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203895/1
Therefore the LCM of Fractions 45/845,4531/8917 is 203895
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 8917
List of positive integer factors of 8917 that divides 8917 without a remainder.
1,37,241,8917
Greatest Common Factor
We found the factors 845,8917 . The biggest common factor number is the GCF number.
So the greatest common factor 845,8917 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 45/845, 4531/8917?
Answer: LCM of Numerators as per given numbers 45/845, 4531/8917 is
LCM of Numerators i.e. for 45,4531 is 203895
GCF of denominators i.e. for 845,8917 is 1.
Thus, LCM of Fractions is 203895.Finally, LCM of Fractions for 45/845, 4531/8917 is 203895.