Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/473, 427/441, 417/521 quickly i.e. 3383121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/473, 427/441, 417/521 is 3383121.
LCM(19/473, 427/441, 417/521) = 3383121
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/473,427/441,417/521
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 19,427,417
Least Common Multiple of Numerators i.e. LCM of 19,427,417 is 3383121.
GCF of Denominators means GCF of 473,441,521 as per the given fractions.
GCF of 473,441,521 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,427,417
Given numbers has no common factors except 1. So, there LCM is their product i.e 3383121
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 19,427,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,427,417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,427,417) x common factors =1 x 1 = 1
LCM(19,427,417) = ( 19 × 427 × 417 ) / 1
LCM(19,427,417) = 3383121 / 1
LCM(19,427,417) = 3383121
Lets's calculate GCF of 473,441,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3383121/1
Therefore the LCM of Fractions 19/473,427/441,417/521 is 3383121
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Greatest Common Factor
We found the factors 473,441,521 . The biggest common factor number is the GCF number.
So the greatest common factor 473,441,521 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 19/473, 427/441, 417/521?
Answer: LCM of Numerators as per given numbers 19/473, 427/441, 417/521 is
LCM of Numerators i.e. for 19,427,417 is 3383121
GCF of denominators i.e. for 473,441,521 is 1.
Thus, LCM of Fractions is 3383121.Finally, LCM of Fractions for 19/473, 427/441, 417/521 is 3383121.