Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 855/57, 624/1986 quickly i.e. 59280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 855/57, 624/1986 is 59280.
LCM(855/57, 624/1986) = 59280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 855/57,624/1986
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 855,624
Least Common Multiple of Numerators i.e. LCM of 855,624 is 177840.
GCF of Denominators means GCF of 57,1986 as per the given fractions.
GCF of 57,1986 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 855,624
3 | 855, 624 |
285, 208 |
∴ So the LCM of the given numbers is 3 x 285 x 208 = 177840
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 855,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,624) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(855,624) x common factors =3 x 1 = 3
LCM(855,624) = ( 855 × 624 ) / 3
LCM(855,624) = 533520 / 3
LCM(855,624) = 177840
Lets's calculate GCF of 57,1986
3 | 57, 1986 |
19, 662 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177840/3
Therefore the LCM of Fractions 855/57,624/1986 is 59280
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 1986
List of positive integer factors of 1986 that divides 1986 without a remainder.
1,2,3,6,331,662,993,1986
Greatest Common Factor
We found the factors 57,1986 . The biggest common factor number is the GCF number.
So the greatest common factor 57,1986 is 3.
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 855/57, 624/1986?
Answer: LCM of Numerators as per given numbers 855/57, 624/1986 is
LCM of Numerators i.e. for 855,624 is 177840
GCF of denominators i.e. for 57,1986 is 3.
Thus, LCM of Fractions is 59280.Finally, LCM of Fractions for 855/57, 624/1986 is 59280.