Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/18, 841/31, 571/286 quickly i.e. 10084431 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/18, 841/31, 571/286 is 10084431.
LCM(21/18, 841/31, 571/286) = 10084431
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/18,841/31,571/286
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 21,841,571
Least Common Multiple of Numerators i.e. LCM of 21,841,571 is 10084431.
GCF of Denominators means GCF of 18,31,286 as per the given fractions.
GCF of 18,31,286 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,841,571
Given numbers has no common factors except 1. So, there LCM is their product i.e 10084431
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 21,841,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,841,571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,841,571) x common factors =1 x 1 = 1
LCM(21,841,571) = ( 21 × 841 × 571 ) / 1
LCM(21,841,571) = 10084431 / 1
LCM(21,841,571) = 10084431
Lets's calculate GCF of 18,31,286
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10084431/1
Therefore the LCM of Fractions 21/18,841/31,571/286 is 10084431
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 18,31,286 . The biggest common factor number is the GCF number.
So the greatest common factor 18,31,286 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 21/18, 841/31, 571/286?
Answer: LCM of Numerators as per given numbers 21/18, 841/31, 571/286 is
LCM of Numerators i.e. for 21,841,571 is 10084431
GCF of denominators i.e. for 18,31,286 is 1.
Thus, LCM of Fractions is 10084431.Finally, LCM of Fractions for 21/18, 841/31, 571/286 is 10084431.