Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 396/674, 9467/7300 quickly i.e. 1874466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 396/674, 9467/7300 is 1874466.
LCM(396/674, 9467/7300) = 1874466
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 396/674,9467/7300
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 396,9467
Least Common Multiple of Numerators i.e. LCM of 396,9467 is 3748932.
GCF of Denominators means GCF of 674,7300 as per the given fractions.
GCF of 674,7300 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 396,9467
Given numbers has no common factors except 1. So, there LCM is their product i.e 3748932
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 396,9467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,9467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(396,9467) x common factors =1 x 1 = 1
LCM(396,9467) = ( 396 × 9467 ) / 1
LCM(396,9467) = 3748932 / 1
LCM(396,9467) = 3748932
Lets's calculate GCF of 674,7300
2 | 674, 7300 |
337, 3650 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3748932/2
Therefore the LCM of Fractions 396/674,9467/7300 is 1874466
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Factors of 7300
List of positive integer factors of 7300 that divides 7300 without a remainder.
1,2,4,5,10,20,25,50,73,100,146,292,365,730,1460,1825,3650,7300
Greatest Common Factor
We found the factors 674,7300 . The biggest common factor number is the GCF number.
So the greatest common factor 674,7300 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 396/674, 9467/7300?
Answer: LCM of Numerators as per given numbers 396/674, 9467/7300 is
LCM of Numerators i.e. for 396,9467 is 3748932
GCF of denominators i.e. for 674,7300 is 2.
Thus, LCM of Fractions is 1874466.Finally, LCM of Fractions for 396/674, 9467/7300 is 1874466.