Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 627/57, 212/63, 494/771 quickly i.e. 576004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 627/57, 212/63, 494/771 is 576004.
LCM(627/57, 212/63, 494/771) = 576004
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 627/57,212/63,494/771
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 627,212,494
Least Common Multiple of Numerators i.e. LCM of 627,212,494 is 1728012.
GCF of Denominators means GCF of 57,63,771 as per the given fractions.
GCF of 57,63,771 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 627,212,494
2 | 627, 212, 494 |
19 | 627, 106, 247 |
33, 106, 13 |
∴ So the LCM of the given numbers is 2 x 19 x 33 x 106 x 13 = 1728012
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 627,212,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,212,494) = 1
common factors(in case of two or more numbers have common factors) = 38
GCF(627,212,494) x common factors =1 x 38 = 38
LCM(627,212,494) = ( 627 × 212 × 494 ) / 38
LCM(627,212,494) = 65664456 / 38
LCM(627,212,494) = 1728012
Lets's calculate GCF of 57,63,771
3 | 57, 63, 771 |
19, 21, 257 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1728012/3
Therefore the LCM of Fractions 627/57,212/63,494/771 is 576004
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Greatest Common Factor
We found the factors 57,63,771 . The biggest common factor number is the GCF number.
So the greatest common factor 57,63,771 is 3.
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 627/57, 212/63, 494/771?
Answer: LCM of Numerators as per given numbers 627/57, 212/63, 494/771 is
LCM of Numerators i.e. for 627,212,494 is 1728012
GCF of denominators i.e. for 57,63,771 is 3.
Thus, LCM of Fractions is 576004.Finally, LCM of Fractions for 627/57, 212/63, 494/771 is 576004.