Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 300/980, 2184/135 quickly i.e. 10920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 300/980, 2184/135 is 10920.
LCM(300/980, 2184/135) = 10920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 300/980,2184/135
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 300,2184
Least Common Multiple of Numerators i.e. LCM of 300,2184 is 54600.
GCF of Denominators means GCF of 980,135 as per the given fractions.
GCF of 980,135 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 300,2184
2 | 300, 2184 |
2 | 150, 1092 |
3 | 75, 546 |
25, 182 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 25 x 182 = 54600
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 300,2184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,2184) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(300,2184) x common factors =12 x 1 = 12
LCM(300,2184) = ( 300 × 2184 ) / 12
LCM(300,2184) = 655200 / 12
LCM(300,2184) = 54600
Lets's calculate GCF of 980,135
5 | 980, 135 |
196, 27 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54600/5
Therefore the LCM of Fractions 300/980,2184/135 is 10920
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Greatest Common Factor
We found the factors 980,135 . The biggest common factor number is the GCF number.
So the greatest common factor 980,135 is 5.
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 300/980, 2184/135?
Answer: LCM of Numerators as per given numbers 300/980, 2184/135 is
LCM of Numerators i.e. for 300,2184 is 54600
GCF of denominators i.e. for 980,135 is 5.
Thus, LCM of Fractions is 10920.Finally, LCM of Fractions for 300/980, 2184/135 is 10920.