Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 627/218, 8066/8634 quickly i.e. 2528691 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 627/218, 8066/8634 is 2528691.
LCM(627/218, 8066/8634) = 2528691
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 627/218,8066/8634
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 627,8066
Least Common Multiple of Numerators i.e. LCM of 627,8066 is 5057382.
GCF of Denominators means GCF of 218,8634 as per the given fractions.
GCF of 218,8634 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 627,8066
Given numbers has no common factors except 1. So, there LCM is their product i.e 5057382
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 627,8066 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,8066) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(627,8066) x common factors =1 x 1 = 1
LCM(627,8066) = ( 627 × 8066 ) / 1
LCM(627,8066) = 5057382 / 1
LCM(627,8066) = 5057382
Lets's calculate GCF of 218,8634
2 | 218, 8634 |
109, 4317 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5057382/2
Therefore the LCM of Fractions 627/218,8066/8634 is 2528691
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Factors of 8634
List of positive integer factors of 8634 that divides 8634 without a remainder.
1,2,3,6,1439,2878,4317,8634
Greatest Common Factor
We found the factors 218,8634 . The biggest common factor number is the GCF number.
So the greatest common factor 218,8634 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 627/218, 8066/8634?
Answer: LCM of Numerators as per given numbers 627/218, 8066/8634 is
LCM of Numerators i.e. for 627,8066 is 5057382
GCF of denominators i.e. for 218,8634 is 2.
Thus, LCM of Fractions is 2528691.Finally, LCM of Fractions for 627/218, 8066/8634 is 2528691.