Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 998/12, 669/8949 quickly i.e. 222554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 998/12, 669/8949 is 222554.
LCM(998/12, 669/8949) = 222554
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 998/12,669/8949
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 998,669
Least Common Multiple of Numerators i.e. LCM of 998,669 is 667662.
GCF of Denominators means GCF of 12,8949 as per the given fractions.
GCF of 12,8949 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 998,669
Given numbers has no common factors except 1. So, there LCM is their product i.e 667662
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 998,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(998,669) x common factors =1 x 1 = 1
LCM(998,669) = ( 998 × 669 ) / 1
LCM(998,669) = 667662 / 1
LCM(998,669) = 667662
Lets's calculate GCF of 12,8949
3 | 12, 8949 |
4, 2983 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 667662/3
Therefore the LCM of Fractions 998/12,669/8949 is 222554
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 8949
List of positive integer factors of 8949 that divides 8949 without a remainder.
1,3,19,57,157,471,2983,8949
Greatest Common Factor
We found the factors 12,8949 . The biggest common factor number is the GCF number.
So the greatest common factor 12,8949 is 3.
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 998/12, 669/8949?
Answer: LCM of Numerators as per given numbers 998/12, 669/8949 is
LCM of Numerators i.e. for 998,669 is 667662
GCF of denominators i.e. for 12,8949 is 3.
Thus, LCM of Fractions is 222554.Finally, LCM of Fractions for 998/12, 669/8949 is 222554.