Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 345/669, 8641/831 quickly i.e. 993715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 345/669, 8641/831 is 993715.
LCM(345/669, 8641/831) = 993715
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 345/669,8641/831
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 345,8641
Least Common Multiple of Numerators i.e. LCM of 345,8641 is 2981145.
GCF of Denominators means GCF of 669,831 as per the given fractions.
GCF of 669,831 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 345,8641
Given numbers has no common factors except 1. So, there LCM is their product i.e 2981145
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 345,8641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,8641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(345,8641) x common factors =1 x 1 = 1
LCM(345,8641) = ( 345 × 8641 ) / 1
LCM(345,8641) = 2981145 / 1
LCM(345,8641) = 2981145
Lets's calculate GCF of 669,831
3 | 669, 831 |
223, 277 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2981145/3
Therefore the LCM of Fractions 345/669,8641/831 is 993715
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Factors of 831
List of positive integer factors of 831 that divides 831 without a remainder.
1,3,277,831
Greatest Common Factor
We found the factors 669,831 . The biggest common factor number is the GCF number.
So the greatest common factor 669,831 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 345/669, 8641/831?
Answer: LCM of Numerators as per given numbers 345/669, 8641/831 is
LCM of Numerators i.e. for 345,8641 is 2981145
GCF of denominators i.e. for 669,831 is 3.
Thus, LCM of Fractions is 993715.Finally, LCM of Fractions for 345/669, 8641/831 is 993715.