Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/453, 4264/8895 quickly i.e. 72488/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/453, 4264/8895 is 72488/3.
LCM(17/453, 4264/8895) = 72488/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/453,4264/8895
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 17,4264
Least Common Multiple of Numerators i.e. LCM of 17,4264 is 72488.
GCF of Denominators means GCF of 453,8895 as per the given fractions.
GCF of 453,8895 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,4264
Given numbers has no common factors except 1. So, there LCM is their product i.e 72488
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 17,4264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,4264) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,4264) x common factors =1 x 1 = 1
LCM(17,4264) = ( 17 × 4264 ) / 1
LCM(17,4264) = 72488 / 1
LCM(17,4264) = 72488
Lets's calculate GCF of 453,8895
3 | 453, 8895 |
151, 2965 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72488/3
Therefore the LCM of Fractions 17/453,4264/8895 is 72488/3
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 8895
List of positive integer factors of 8895 that divides 8895 without a remainder.
1,3,5,15,593,1779,2965,8895
Greatest Common Factor
We found the factors 453,8895 . The biggest common factor number is the GCF number.
So the greatest common factor 453,8895 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 17/453, 4264/8895?
Answer: LCM of Numerators as per given numbers 17/453, 4264/8895 is
LCM of Numerators i.e. for 17,4264 is 72488
GCF of denominators i.e. for 453,8895 is 3.
Thus, LCM of Fractions is 72488/3.Finally, LCM of Fractions for 17/453, 4264/8895 is 72488/3.