Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/513, 73/491, 585/623 quickly i.e. 597870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/513, 73/491, 585/623 is 597870.
LCM(42/513, 73/491, 585/623) = 597870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/513,73/491,585/623
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 42,73,585
Least Common Multiple of Numerators i.e. LCM of 42,73,585 is 597870.
GCF of Denominators means GCF of 513,491,623 as per the given fractions.
GCF of 513,491,623 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,73,585
3 | 42, 73, 585 |
14, 73, 195 |
∴ So the LCM of the given numbers is 3 x 14 x 73 x 195 = 597870
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 42,73,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,73,585) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(42,73,585) x common factors =1 x 3 = 3
LCM(42,73,585) = ( 42 × 73 × 585 ) / 3
LCM(42,73,585) = 1793610 / 3
LCM(42,73,585) = 597870
Lets's calculate GCF of 513,491,623
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 597870/1
Therefore the LCM of Fractions 42/513,73/491,585/623 is 597870
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Greatest Common Factor
We found the factors 513,491,623 . The biggest common factor number is the GCF number.
So the greatest common factor 513,491,623 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 42/513, 73/491, 585/623?
Answer: LCM of Numerators as per given numbers 42/513, 73/491, 585/623 is
LCM of Numerators i.e. for 42,73,585 is 597870
GCF of denominators i.e. for 513,491,623 is 1.
Thus, LCM of Fractions is 597870.Finally, LCM of Fractions for 42/513, 73/491, 585/623 is 597870.