Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6706/466, 8649/2190 quickly i.e. 29000097 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6706/466, 8649/2190 is 29000097.
LCM(6706/466, 8649/2190) = 29000097
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6706/466,8649/2190
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 6706,8649
Least Common Multiple of Numerators i.e. LCM of 6706,8649 is 58000194.
GCF of Denominators means GCF of 466,2190 as per the given fractions.
GCF of 466,2190 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6706,8649
Given numbers has no common factors except 1. So, there LCM is their product i.e 58000194
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 6706,8649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6706,8649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6706,8649) x common factors =1 x 1 = 1
LCM(6706,8649) = ( 6706 × 8649 ) / 1
LCM(6706,8649) = 58000194 / 1
LCM(6706,8649) = 58000194
Lets's calculate GCF of 466,2190
2 | 466, 2190 |
233, 1095 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58000194/2
Therefore the LCM of Fractions 6706/466,8649/2190 is 29000097
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Factors of 2190
List of positive integer factors of 2190 that divides 2190 without a remainder.
1,2,3,5,6,10,15,30,73,146,219,365,438,730,1095,2190
Greatest Common Factor
We found the factors 466,2190 . The biggest common factor number is the GCF number.
So the greatest common factor 466,2190 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 6706/466, 8649/2190?
Answer: LCM of Numerators as per given numbers 6706/466, 8649/2190 is
LCM of Numerators i.e. for 6706,8649 is 58000194
GCF of denominators i.e. for 466,2190 is 2.
Thus, LCM of Fractions is 29000097.Finally, LCM of Fractions for 6706/466, 8649/2190 is 29000097.