Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 643/922, 8366/6168 quickly i.e. 2689669 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 643/922, 8366/6168 is 2689669.
LCM(643/922, 8366/6168) = 2689669
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 643/922,8366/6168
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 643,8366
Least Common Multiple of Numerators i.e. LCM of 643,8366 is 5379338.
GCF of Denominators means GCF of 922,6168 as per the given fractions.
GCF of 922,6168 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 643,8366
Given numbers has no common factors except 1. So, there LCM is their product i.e 5379338
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 643,8366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,8366) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(643,8366) x common factors =1 x 1 = 1
LCM(643,8366) = ( 643 × 8366 ) / 1
LCM(643,8366) = 5379338 / 1
LCM(643,8366) = 5379338
Lets's calculate GCF of 922,6168
2 | 922, 6168 |
461, 3084 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5379338/2
Therefore the LCM of Fractions 643/922,8366/6168 is 2689669
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Factors of 6168
List of positive integer factors of 6168 that divides 6168 without a remainder.
1,2,3,4,6,8,12,24,257,514,771,1028,1542,2056,3084,6168
Greatest Common Factor
We found the factors 922,6168 . The biggest common factor number is the GCF number.
So the greatest common factor 922,6168 is 2.
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 643/922, 8366/6168?
Answer: LCM of Numerators as per given numbers 643/922, 8366/6168 is
LCM of Numerators i.e. for 643,8366 is 5379338
GCF of denominators i.e. for 922,6168 is 2.
Thus, LCM of Fractions is 2689669.Finally, LCM of Fractions for 643/922, 8366/6168 is 2689669.