Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/28, 750/72, 291/569 quickly i.e. 1527750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/28, 750/72, 291/569 is 1527750.
LCM(63/28, 750/72, 291/569) = 1527750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/28,750/72,291/569
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 63,750,291
Least Common Multiple of Numerators i.e. LCM of 63,750,291 is 1527750.
GCF of Denominators means GCF of 28,72,569 as per the given fractions.
GCF of 28,72,569 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,750,291
3 | 63, 750, 291 |
21, 250, 97 |
∴ So the LCM of the given numbers is 3 x 21 x 250 x 97 = 1527750
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 63,750,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,750,291) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(63,750,291) x common factors =3 x 3 = 9
LCM(63,750,291) = ( 63 × 750 × 291 ) / 9
LCM(63,750,291) = 13749750 / 9
LCM(63,750,291) = 1527750
Lets's calculate GCF of 28,72,569
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1527750/1
Therefore the LCM of Fractions 63/28,750/72,291/569 is 1527750
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
Greatest Common Factor
We found the factors 28,72,569 . The biggest common factor number is the GCF number.
So the greatest common factor 28,72,569 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 63/28, 750/72, 291/569?
Answer: LCM of Numerators as per given numbers 63/28, 750/72, 291/569 is
LCM of Numerators i.e. for 63,750,291 is 1527750
GCF of denominators i.e. for 28,72,569 is 1.
Thus, LCM of Fractions is 1527750.Finally, LCM of Fractions for 63/28, 750/72, 291/569 is 1527750.