Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3661/456, 9376/694 quickly i.e. 17162768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3661/456, 9376/694 is 17162768.
LCM(3661/456, 9376/694) = 17162768
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3661/456,9376/694
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 3661,9376
Least Common Multiple of Numerators i.e. LCM of 3661,9376 is 34325536.
GCF of Denominators means GCF of 456,694 as per the given fractions.
GCF of 456,694 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3661,9376
Given numbers has no common factors except 1. So, there LCM is their product i.e 34325536
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 3661,9376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3661,9376) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3661,9376) x common factors =1 x 1 = 1
LCM(3661,9376) = ( 3661 × 9376 ) / 1
LCM(3661,9376) = 34325536 / 1
LCM(3661,9376) = 34325536
Lets's calculate GCF of 456,694
2 | 456, 694 |
228, 347 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34325536/2
Therefore the LCM of Fractions 3661/456,9376/694 is 17162768
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Greatest Common Factor
We found the factors 456,694 . The biggest common factor number is the GCF number.
So the greatest common factor 456,694 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 3661/456, 9376/694?
Answer: LCM of Numerators as per given numbers 3661/456, 9376/694 is
LCM of Numerators i.e. for 3661,9376 is 34325536
GCF of denominators i.e. for 456,694 is 2.
Thus, LCM of Fractions is 17162768.Finally, LCM of Fractions for 3661/456, 9376/694 is 17162768.