Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/843, 566/890, 643/121 quickly i.e. 15649334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/843, 566/890, 643/121 is 15649334.
LCM(86/843, 566/890, 643/121) = 15649334
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/843,566/890,643/121
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 86,566,643
Least Common Multiple of Numerators i.e. LCM of 86,566,643 is 15649334.
GCF of Denominators means GCF of 843,890,121 as per the given fractions.
GCF of 843,890,121 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,566,643
2 | 86, 566, 643 |
43, 283, 643 |
∴ So the LCM of the given numbers is 2 x 43 x 283 x 643 = 15649334
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 86,566,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,566,643) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(86,566,643) x common factors =1 x 2 = 2
LCM(86,566,643) = ( 86 × 566 × 643 ) / 2
LCM(86,566,643) = 31298668 / 2
LCM(86,566,643) = 15649334
Lets's calculate GCF of 843,890,121
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15649334/1
Therefore the LCM of Fractions 86/843,566/890,643/121 is 15649334
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Greatest Common Factor
We found the factors 843,890,121 . The biggest common factor number is the GCF number.
So the greatest common factor 843,890,121 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 86/843, 566/890, 643/121?
Answer: LCM of Numerators as per given numbers 86/843, 566/890, 643/121 is
LCM of Numerators i.e. for 86,566,643 is 15649334
GCF of denominators i.e. for 843,890,121 is 1.
Thus, LCM of Fractions is 15649334.Finally, LCM of Fractions for 86/843, 566/890, 643/121 is 15649334.