Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 231/507, 300/367, 213/493 quickly i.e. 1640100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 231/507, 300/367, 213/493 is 1640100.
LCM(231/507, 300/367, 213/493) = 1640100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 231/507,300/367,213/493
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 231,300,213
Least Common Multiple of Numerators i.e. LCM of 231,300,213 is 1640100.
GCF of Denominators means GCF of 507,367,493 as per the given fractions.
GCF of 507,367,493 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 231,300,213
3 | 231, 300, 213 |
77, 100, 71 |
∴ So the LCM of the given numbers is 3 x 77 x 100 x 71 = 1640100
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 231,300,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,300,213) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(231,300,213) x common factors =3 x 3 = 9
LCM(231,300,213) = ( 231 × 300 × 213 ) / 9
LCM(231,300,213) = 14760900 / 9
LCM(231,300,213) = 1640100
Lets's calculate GCF of 507,367,493
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1640100/1
Therefore the LCM of Fractions 231/507,300/367,213/493 is 1640100
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Factors of 367
List of positive integer factors of 367 that divides 367 without a remainder.
1,367
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Greatest Common Factor
We found the factors 507,367,493 . The biggest common factor number is the GCF number.
So the greatest common factor 507,367,493 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 231/507, 300/367, 213/493?
Answer: LCM of Numerators as per given numbers 231/507, 300/367, 213/493 is
LCM of Numerators i.e. for 231,300,213 is 1640100
GCF of denominators i.e. for 507,367,493 is 1.
Thus, LCM of Fractions is 1640100.Finally, LCM of Fractions for 231/507, 300/367, 213/493 is 1640100.