Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/300, 81/257, 990/970 quickly i.e. 8910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/300, 81/257, 990/970 is 8910.
LCM(18/300, 81/257, 990/970) = 8910
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/300,81/257,990/970
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 18,81,990
Least Common Multiple of Numerators i.e. LCM of 18,81,990 is 8910.
GCF of Denominators means GCF of 300,257,970 as per the given fractions.
GCF of 300,257,970 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,81,990
2 | 18, 81, 990 |
3 | 9, 81, 495 |
3 | 3, 27, 165 |
1, 9, 55 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 9 x 55 = 8910
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 18,81,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,81,990) = 9
common factors(in case of two or more numbers have common factors) = 18
GCF(18,81,990) x common factors =9 x 18 = 162
LCM(18,81,990) = ( 18 × 81 × 990 ) / 162
LCM(18,81,990) = 1443420 / 162
LCM(18,81,990) = 8910
Lets's calculate GCF of 300,257,970
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8910/1
Therefore the LCM of Fractions 18/300,81/257,990/970 is 8910
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Greatest Common Factor
We found the factors 300,257,970 . The biggest common factor number is the GCF number.
So the greatest common factor 300,257,970 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 18/300, 81/257, 990/970?
Answer: LCM of Numerators as per given numbers 18/300, 81/257, 990/970 is
LCM of Numerators i.e. for 18,81,990 is 8910
GCF of denominators i.e. for 300,257,970 is 1.
Thus, LCM of Fractions is 8910.Finally, LCM of Fractions for 18/300, 81/257, 990/970 is 8910.