Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/473, 4455/1716 quickly i.e. 5265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/473, 4455/1716 is 5265.
LCM(13/473, 4455/1716) = 5265
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/473,4455/1716
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 13,4455
Least Common Multiple of Numerators i.e. LCM of 13,4455 is 57915.
GCF of Denominators means GCF of 473,1716 as per the given fractions.
GCF of 473,1716 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,4455
Given numbers has no common factors except 1. So, there LCM is their product i.e 57915
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 13,4455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,4455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,4455) x common factors =1 x 1 = 1
LCM(13,4455) = ( 13 × 4455 ) / 1
LCM(13,4455) = 57915 / 1
LCM(13,4455) = 57915
Lets's calculate GCF of 473,1716
11 | 473, 1716 |
43, 156 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57915/11
Therefore the LCM of Fractions 13/473,4455/1716 is 5265
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Factors of 1716
List of positive integer factors of 1716 that divides 1716 without a remainder.
1,2,3,4,6,11,12,13,22,26,33,39,44,52,66,78,132,143,156,286,429,572,858,1716
Greatest Common Factor
We found the factors 473,1716 . The biggest common factor number is the GCF number.
So the greatest common factor 473,1716 is 11.
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 13/473, 4455/1716?
Answer: LCM of Numerators as per given numbers 13/473, 4455/1716 is
LCM of Numerators i.e. for 13,4455 is 57915
GCF of denominators i.e. for 473,1716 is 11.
Thus, LCM of Fractions is 5265.Finally, LCM of Fractions for 13/473, 4455/1716 is 5265.