Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 843/39, 841/22, 288/966 quickly i.e. 68060448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 843/39, 841/22, 288/966 is 68060448.
LCM(843/39, 841/22, 288/966) = 68060448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 843/39,841/22,288/966
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 843,841,288
Least Common Multiple of Numerators i.e. LCM of 843,841,288 is 68060448.
GCF of Denominators means GCF of 39,22,966 as per the given fractions.
GCF of 39,22,966 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 843,841,288
3 | 843, 841, 288 |
281, 841, 96 |
∴ So the LCM of the given numbers is 3 x 281 x 841 x 96 = 68060448
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 843,841,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(843,841,288) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(843,841,288) x common factors =1 x 3 = 3
LCM(843,841,288) = ( 843 × 841 × 288 ) / 3
LCM(843,841,288) = 204181344 / 3
LCM(843,841,288) = 68060448
Lets's calculate GCF of 39,22,966
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68060448/1
Therefore the LCM of Fractions 843/39,841/22,288/966 is 68060448
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors 39,22,966 . The biggest common factor number is the GCF number.
So the greatest common factor 39,22,966 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 843/39, 841/22, 288/966?
Answer: LCM of Numerators as per given numbers 843/39, 841/22, 288/966 is
LCM of Numerators i.e. for 843,841,288 is 68060448
GCF of denominators i.e. for 39,22,966 is 1.
Thus, LCM of Fractions is 68060448.Finally, LCM of Fractions for 843/39, 841/22, 288/966 is 68060448.