Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 691/166, 6323/8020 quickly i.e. 4369193/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 691/166, 6323/8020 is 4369193/2.
LCM(691/166, 6323/8020) = 4369193/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 691/166,6323/8020
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 691,6323
Least Common Multiple of Numerators i.e. LCM of 691,6323 is 4369193.
GCF of Denominators means GCF of 166,8020 as per the given fractions.
GCF of 166,8020 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 691,6323
Given numbers has no common factors except 1. So, there LCM is their product i.e 4369193
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 691,6323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,6323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,6323) x common factors =1 x 1 = 1
LCM(691,6323) = ( 691 × 6323 ) / 1
LCM(691,6323) = 4369193 / 1
LCM(691,6323) = 4369193
Lets's calculate GCF of 166,8020
2 | 166, 8020 |
83, 4010 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4369193/2
Therefore the LCM of Fractions 691/166,6323/8020 is 4369193/2
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 8020
List of positive integer factors of 8020 that divides 8020 without a remainder.
1,2,4,5,10,20,401,802,1604,2005,4010,8020
Greatest Common Factor
We found the factors 166,8020 . The biggest common factor number is the GCF number.
So the greatest common factor 166,8020 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 691/166, 6323/8020?
Answer: LCM of Numerators as per given numbers 691/166, 6323/8020 is
LCM of Numerators i.e. for 691,6323 is 4369193
GCF of denominators i.e. for 166,8020 is 2.
Thus, LCM of Fractions is 4369193/2.Finally, LCM of Fractions for 691/166, 6323/8020 is 4369193/2.