Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1560/388, 6621/720 quickly i.e. 860730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1560/388, 6621/720 is 860730.
LCM(1560/388, 6621/720) = 860730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1560/388,6621/720
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 1560,6621
Least Common Multiple of Numerators i.e. LCM of 1560,6621 is 3442920.
GCF of Denominators means GCF of 388,720 as per the given fractions.
GCF of 388,720 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1560,6621
3 | 1560, 6621 |
520, 2207 |
∴ So the LCM of the given numbers is 3 x 520 x 2207 = 3442920
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 1560,6621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1560,6621) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(1560,6621) x common factors =3 x 1 = 3
LCM(1560,6621) = ( 1560 × 6621 ) / 3
LCM(1560,6621) = 10328760 / 3
LCM(1560,6621) = 3442920
Lets's calculate GCF of 388,720
2 | 388, 720 |
2 | 194, 360 |
97, 180 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3442920/4
Therefore the LCM of Fractions 1560/388,6621/720 is 860730
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Greatest Common Factor
We found the factors 388,720 . The biggest common factor number is the GCF number.
So the greatest common factor 388,720 is 4.
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 1560/388, 6621/720?
Answer: LCM of Numerators as per given numbers 1560/388, 6621/720 is
LCM of Numerators i.e. for 1560,6621 is 3442920
GCF of denominators i.e. for 388,720 is 4.
Thus, LCM of Fractions is 860730.Finally, LCM of Fractions for 1560/388, 6621/720 is 860730.