Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/22, 84/41, 51/845 quickly i.e. 61404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/22, 84/41, 51/845 is 61404.
LCM(86/22, 84/41, 51/845) = 61404
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/22,84/41,51/845
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 86,84,51
Least Common Multiple of Numerators i.e. LCM of 86,84,51 is 61404.
GCF of Denominators means GCF of 22,41,845 as per the given fractions.
GCF of 22,41,845 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,84,51
2 | 86, 84, 51 |
3 | 43, 42, 51 |
43, 14, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 14 x 17 = 61404
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 86,84,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,84,51) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(86,84,51) x common factors =1 x 6 = 6
LCM(86,84,51) = ( 86 × 84 × 51 ) / 6
LCM(86,84,51) = 368424 / 6
LCM(86,84,51) = 61404
Lets's calculate GCF of 22,41,845
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61404/1
Therefore the LCM of Fractions 86/22,84/41,51/845 is 61404
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Greatest Common Factor
We found the factors 22,41,845 . The biggest common factor number is the GCF number.
So the greatest common factor 22,41,845 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 86/22, 84/41, 51/845?
Answer: LCM of Numerators as per given numbers 86/22, 84/41, 51/845 is
LCM of Numerators i.e. for 86,84,51 is 61404
GCF of denominators i.e. for 22,41,845 is 1.
Thus, LCM of Fractions is 61404.Finally, LCM of Fractions for 86/22, 84/41, 51/845 is 61404.