Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 304/90, 867/7322 quickly i.e. 131784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 304/90, 867/7322 is 131784.
LCM(304/90, 867/7322) = 131784
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 304/90,867/7322
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 304,867
Least Common Multiple of Numerators i.e. LCM of 304,867 is 263568.
GCF of Denominators means GCF of 90,7322 as per the given fractions.
GCF of 90,7322 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 304,867
Given numbers has no common factors except 1. So, there LCM is their product i.e 263568
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 304,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,867) x common factors =1 x 1 = 1
LCM(304,867) = ( 304 × 867 ) / 1
LCM(304,867) = 263568 / 1
LCM(304,867) = 263568
Lets's calculate GCF of 90,7322
2 | 90, 7322 |
45, 3661 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263568/2
Therefore the LCM of Fractions 304/90,867/7322 is 131784
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 7322
List of positive integer factors of 7322 that divides 7322 without a remainder.
1,2,7,14,523,1046,3661,7322
Greatest Common Factor
We found the factors 90,7322 . The biggest common factor number is the GCF number.
So the greatest common factor 90,7322 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 304/90, 867/7322?
Answer: LCM of Numerators as per given numbers 304/90, 867/7322 is
LCM of Numerators i.e. for 304,867 is 263568
GCF of denominators i.e. for 90,7322 is 2.
Thus, LCM of Fractions is 131784.Finally, LCM of Fractions for 304/90, 867/7322 is 131784.