Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 291/898, 8029/8308 quickly i.e. 2336439/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 291/898, 8029/8308 is 2336439/2.
LCM(291/898, 8029/8308) = 2336439/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 291/898,8029/8308
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 291,8029
Least Common Multiple of Numerators i.e. LCM of 291,8029 is 2336439.
GCF of Denominators means GCF of 898,8308 as per the given fractions.
GCF of 898,8308 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 291,8029
Given numbers has no common factors except 1. So, there LCM is their product i.e 2336439
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 291,8029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,8029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(291,8029) x common factors =1 x 1 = 1
LCM(291,8029) = ( 291 × 8029 ) / 1
LCM(291,8029) = 2336439 / 1
LCM(291,8029) = 2336439
Lets's calculate GCF of 898,8308
2 | 898, 8308 |
449, 4154 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2336439/2
Therefore the LCM of Fractions 291/898,8029/8308 is 2336439/2
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 8308
List of positive integer factors of 8308 that divides 8308 without a remainder.
1,2,4,31,62,67,124,134,268,2077,4154,8308
Greatest Common Factor
We found the factors 898,8308 . The biggest common factor number is the GCF number.
So the greatest common factor 898,8308 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 291/898, 8029/8308?
Answer: LCM of Numerators as per given numbers 291/898, 8029/8308 is
LCM of Numerators i.e. for 291,8029 is 2336439
GCF of denominators i.e. for 898,8308 is 2.
Thus, LCM of Fractions is 2336439/2.Finally, LCM of Fractions for 291/898, 8029/8308 is 2336439/2.