Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 472/36, 861/7686 quickly i.e. 406392/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 472/36, 861/7686 is 406392/18.
LCM(472/36, 861/7686) = 406392/18
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 472/36,861/7686
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 472,861
Least Common Multiple of Numerators i.e. LCM of 472,861 is 406392.
GCF of Denominators means GCF of 36,7686 as per the given fractions.
GCF of 36,7686 is 18 as it is the largest common factor for these numbers.
Lets's calculate LCM of 472,861
Given numbers has no common factors except 1. So, there LCM is their product i.e 406392
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 472,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,861) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,861) x common factors =1 x 1 = 1
LCM(472,861) = ( 472 × 861 ) / 1
LCM(472,861) = 406392 / 1
LCM(472,861) = 406392
Lets's calculate GCF of 36,7686
2 | 36, 7686 |
3 | 18, 3843 |
3 | 6, 1281 |
2, 427 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406392/18
Therefore the LCM of Fractions 472/36,861/7686 is 406392/18
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 7686
List of positive integer factors of 7686 that divides 7686 without a remainder.
1,2,3,6,7,9,14,18,21,42,61,63,122,126,183,366,427,549,854,1098,1281,2562,3843,7686
Greatest Common Factor
We found the factors 36,7686 . The biggest common factor number is the GCF number.
So the greatest common factor 36,7686 is 18.
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 472/36, 861/7686?
Answer: LCM of Numerators as per given numbers 472/36, 861/7686 is
LCM of Numerators i.e. for 472,861 is 406392
GCF of denominators i.e. for 36,7686 is 18.
Thus, LCM of Fractions is 406392/18.Finally, LCM of Fractions for 472/36, 861/7686 is 406392/18.