Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7346/805, 3451/2204 quickly i.e. 25351046 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7346/805, 3451/2204 is 25351046.
LCM(7346/805, 3451/2204) = 25351046
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7346/805,3451/2204
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 7346,3451
Least Common Multiple of Numerators i.e. LCM of 7346,3451 is 25351046.
GCF of Denominators means GCF of 805,2204 as per the given fractions.
GCF of 805,2204 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7346,3451
Given numbers has no common factors except 1. So, there LCM is their product i.e 25351046
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 7346,3451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7346,3451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7346,3451) x common factors =1 x 1 = 1
LCM(7346,3451) = ( 7346 × 3451 ) / 1
LCM(7346,3451) = 25351046 / 1
LCM(7346,3451) = 25351046
Lets's calculate GCF of 805,2204
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25351046/1
Therefore the LCM of Fractions 7346/805,3451/2204 is 25351046
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Factors of 2204
List of positive integer factors of 2204 that divides 2204 without a remainder.
1,2,4,19,29,38,58,76,116,551,1102,2204
Greatest Common Factor
We found the factors 805,2204 . The biggest common factor number is the GCF number.
So the greatest common factor 805,2204 is 1.
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 7346/805, 3451/2204?
Answer: LCM of Numerators as per given numbers 7346/805, 3451/2204 is
LCM of Numerators i.e. for 7346,3451 is 25351046
GCF of denominators i.e. for 805,2204 is 1.
Thus, LCM of Fractions is 25351046.Finally, LCM of Fractions for 7346/805, 3451/2204 is 25351046.