Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 15/180, 10/352, 424/817 quickly i.e. 6360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 15/180, 10/352, 424/817 is 6360.
LCM(15/180, 10/352, 424/817) = 6360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 15/180,10/352,424/817
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 15,10,424
Least Common Multiple of Numerators i.e. LCM of 15,10,424 is 6360.
GCF of Denominators means GCF of 180,352,817 as per the given fractions.
GCF of 180,352,817 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 15,10,424
2 | 15, 10, 424 |
5 | 15, 5, 212 |
3, 1, 212 |
∴ So the LCM of the given numbers is 2 x 5 x 3 x 1 x 212 = 6360
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 15,10,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,10,424) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(15,10,424) x common factors =1 x 10 = 10
LCM(15,10,424) = ( 15 × 10 × 424 ) / 10
LCM(15,10,424) = 63600 / 10
LCM(15,10,424) = 6360
Lets's calculate GCF of 180,352,817
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6360/1
Therefore the LCM of Fractions 15/180,10/352,424/817 is 6360
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 817
List of positive integer factors of 817 that divides 817 without a remainder.
1,19,43,817
Greatest Common Factor
We found the factors 180,352,817 . The biggest common factor number is the GCF number.
So the greatest common factor 180,352,817 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 15/180, 10/352, 424/817?
Answer: LCM of Numerators as per given numbers 15/180, 10/352, 424/817 is
LCM of Numerators i.e. for 15,10,424 is 6360
GCF of denominators i.e. for 180,352,817 is 1.
Thus, LCM of Fractions is 6360.Finally, LCM of Fractions for 15/180, 10/352, 424/817 is 6360.