Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8773/166, 3474/8084 quickly i.e. 15238701 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8773/166, 3474/8084 is 15238701.
LCM(8773/166, 3474/8084) = 15238701
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8773/166,3474/8084
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 8773,3474
Least Common Multiple of Numerators i.e. LCM of 8773,3474 is 30477402.
GCF of Denominators means GCF of 166,8084 as per the given fractions.
GCF of 166,8084 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8773,3474
Given numbers has no common factors except 1. So, there LCM is their product i.e 30477402
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 8773,3474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8773,3474) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8773,3474) x common factors =1 x 1 = 1
LCM(8773,3474) = ( 8773 × 3474 ) / 1
LCM(8773,3474) = 30477402 / 1
LCM(8773,3474) = 30477402
Lets's calculate GCF of 166,8084
2 | 166, 8084 |
83, 4042 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30477402/2
Therefore the LCM of Fractions 8773/166,3474/8084 is 15238701
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 8084
List of positive integer factors of 8084 that divides 8084 without a remainder.
1,2,4,43,47,86,94,172,188,2021,4042,8084
Greatest Common Factor
We found the factors 166,8084 . The biggest common factor number is the GCF number.
So the greatest common factor 166,8084 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 8773/166, 3474/8084?
Answer: LCM of Numerators as per given numbers 8773/166, 3474/8084 is
LCM of Numerators i.e. for 8773,3474 is 30477402
GCF of denominators i.e. for 166,8084 is 2.
Thus, LCM of Fractions is 15238701.Finally, LCM of Fractions for 8773/166, 3474/8084 is 15238701.