Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/398, 18/930 quickly i.e. 180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/398, 18/930 is 180.
LCM(40/398, 18/930) = 180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/398,18/930
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 40,18
Least Common Multiple of Numerators i.e. LCM of 40,18 is 360.
GCF of Denominators means GCF of 398,930 as per the given fractions.
GCF of 398,930 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,18
2 | 40, 18 |
20, 9 |
∴ So the LCM of the given numbers is 2 x 20 x 9 = 360
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 40,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,18) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(40,18) x common factors =2 x 1 = 2
LCM(40,18) = ( 40 × 18 ) / 2
LCM(40,18) = 720 / 2
LCM(40,18) = 360
Lets's calculate GCF of 398,930
2 | 398, 930 |
199, 465 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360/2
Therefore the LCM of Fractions 40/398,18/930 is 180
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 398,930 . The biggest common factor number is the GCF number.
So the greatest common factor 398,930 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 40/398, 18/930?
Answer: LCM of Numerators as per given numbers 40/398, 18/930 is
LCM of Numerators i.e. for 40,18 is 360
GCF of denominators i.e. for 398,930 is 2.
Thus, LCM of Fractions is 180.Finally, LCM of Fractions for 40/398, 18/930 is 180.