Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 998/322, 8165/3074 quickly i.e. 4074335 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 998/322, 8165/3074 is 4074335.
LCM(998/322, 8165/3074) = 4074335
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 998/322,8165/3074
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 998,8165
Least Common Multiple of Numerators i.e. LCM of 998,8165 is 8148670.
GCF of Denominators means GCF of 322,3074 as per the given fractions.
GCF of 322,3074 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 998,8165
Given numbers has no common factors except 1. So, there LCM is their product i.e 8148670
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 998,8165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,8165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(998,8165) x common factors =1 x 1 = 1
LCM(998,8165) = ( 998 × 8165 ) / 1
LCM(998,8165) = 8148670 / 1
LCM(998,8165) = 8148670
Lets's calculate GCF of 322,3074
2 | 322, 3074 |
161, 1537 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8148670/2
Therefore the LCM of Fractions 998/322,8165/3074 is 4074335
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Factors of 3074
List of positive integer factors of 3074 that divides 3074 without a remainder.
1,2,29,53,58,106,1537,3074
Greatest Common Factor
We found the factors 322,3074 . The biggest common factor number is the GCF number.
So the greatest common factor 322,3074 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 998/322, 8165/3074?
Answer: LCM of Numerators as per given numbers 998/322, 8165/3074 is
LCM of Numerators i.e. for 998,8165 is 8148670
GCF of denominators i.e. for 322,3074 is 2.
Thus, LCM of Fractions is 4074335.Finally, LCM of Fractions for 998/322, 8165/3074 is 4074335.