Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3280/340, 9018/8883 quickly i.e. 14789520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3280/340, 9018/8883 is 14789520.
LCM(3280/340, 9018/8883) = 14789520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3280/340,9018/8883
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 3280,9018
Least Common Multiple of Numerators i.e. LCM of 3280,9018 is 14789520.
GCF of Denominators means GCF of 340,8883 as per the given fractions.
GCF of 340,8883 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3280,9018
2 | 3280, 9018 |
1640, 4509 |
∴ So the LCM of the given numbers is 2 x 1640 x 4509 = 14789520
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 3280,9018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3280,9018) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3280,9018) x common factors =2 x 1 = 2
LCM(3280,9018) = ( 3280 × 9018 ) / 2
LCM(3280,9018) = 29579040 / 2
LCM(3280,9018) = 14789520
Lets's calculate GCF of 340,8883
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14789520/1
Therefore the LCM of Fractions 3280/340,9018/8883 is 14789520
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 8883
List of positive integer factors of 8883 that divides 8883 without a remainder.
1,3,7,9,21,27,47,63,141,189,329,423,987,1269,2961,8883
Greatest Common Factor
We found the factors 340,8883 . The biggest common factor number is the GCF number.
So the greatest common factor 340,8883 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 3280/340, 9018/8883?
Answer: LCM of Numerators as per given numbers 3280/340, 9018/8883 is
LCM of Numerators i.e. for 3280,9018 is 14789520
GCF of denominators i.e. for 340,8883 is 1.
Thus, LCM of Fractions is 14789520.Finally, LCM of Fractions for 3280/340, 9018/8883 is 14789520.