Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/594, 21/341, 534/860 quickly i.e. 71022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/594, 21/341, 534/860 is 71022.
LCM(57/594, 21/341, 534/860) = 71022
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/594,21/341,534/860
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 57,21,534
Least Common Multiple of Numerators i.e. LCM of 57,21,534 is 71022.
GCF of Denominators means GCF of 594,341,860 as per the given fractions.
GCF of 594,341,860 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,21,534
3 | 57, 21, 534 |
19, 7, 178 |
∴ So the LCM of the given numbers is 3 x 19 x 7 x 178 = 71022
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 57,21,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,21,534) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(57,21,534) x common factors =3 x 3 = 9
LCM(57,21,534) = ( 57 × 21 × 534 ) / 9
LCM(57,21,534) = 639198 / 9
LCM(57,21,534) = 71022
Lets's calculate GCF of 594,341,860
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71022/1
Therefore the LCM of Fractions 57/594,21/341,534/860 is 71022
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Greatest Common Factor
We found the factors 594,341,860 . The biggest common factor number is the GCF number.
So the greatest common factor 594,341,860 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 57/594, 21/341, 534/860?
Answer: LCM of Numerators as per given numbers 57/594, 21/341, 534/860 is
LCM of Numerators i.e. for 57,21,534 is 71022
GCF of denominators i.e. for 594,341,860 is 1.
Thus, LCM of Fractions is 71022.Finally, LCM of Fractions for 57/594, 21/341, 534/860 is 71022.