Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/820, 899/540, 696/180 quickly i.e. 280488/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/820, 899/540, 696/180 is 280488/20.
LCM(39/820, 899/540, 696/180) = 280488/20
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/820,899/540,696/180
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 39,899,696
Least Common Multiple of Numerators i.e. LCM of 39,899,696 is 280488.
GCF of Denominators means GCF of 820,540,180 as per the given fractions.
GCF of 820,540,180 is 20 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,899,696
3 | 39, 899, 696 |
29 | 13, 899, 232 |
13, 31, 8 |
∴ So the LCM of the given numbers is 3 x 29 x 13 x 31 x 8 = 280488
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 39,899,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,899,696) = 1
common factors(in case of two or more numbers have common factors) = 87
GCF(39,899,696) x common factors =1 x 87 = 87
LCM(39,899,696) = ( 39 × 899 × 696 ) / 87
LCM(39,899,696) = 24402456 / 87
LCM(39,899,696) = 280488
Lets's calculate GCF of 820,540,180
2 | 820, 540, 180 |
2 | 410, 270, 90 |
5 | 205, 135, 45 |
41, 27, 9 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280488/20
Therefore the LCM of Fractions 39/820,899/540,696/180 is 280488/20
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
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
Greatest Common Factor
We found the factors 820,540,180 . The biggest common factor number is the GCF number.
So the greatest common factor 820,540,180 is 20.
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 39/820, 899/540, 696/180?
Answer: LCM of Numerators as per given numbers 39/820, 899/540, 696/180 is
LCM of Numerators i.e. for 39,899,696 is 280488
GCF of denominators i.e. for 820,540,180 is 20.
Thus, LCM of Fractions is 280488/20.Finally, LCM of Fractions for 39/820, 899/540, 696/180 is 280488/20.