Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 285/57, 397/6972 quickly i.e. 37715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 285/57, 397/6972 is 37715.
LCM(285/57, 397/6972) = 37715
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 285/57,397/6972
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 285,397
Least Common Multiple of Numerators i.e. LCM of 285,397 is 113145.
GCF of Denominators means GCF of 57,6972 as per the given fractions.
GCF of 57,6972 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 285,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 113145
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 285,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(285,397) x common factors =1 x 1 = 1
LCM(285,397) = ( 285 × 397 ) / 1
LCM(285,397) = 113145 / 1
LCM(285,397) = 113145
Lets's calculate GCF of 57,6972
3 | 57, 6972 |
19, 2324 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113145/3
Therefore the LCM of Fractions 285/57,397/6972 is 37715
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 6972
List of positive integer factors of 6972 that divides 6972 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,83,84,166,249,332,498,581,996,1162,1743,2324,3486,6972
Greatest Common Factor
We found the factors 57,6972 . The biggest common factor number is the GCF number.
So the greatest common factor 57,6972 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 285/57, 397/6972?
Answer: LCM of Numerators as per given numbers 285/57, 397/6972 is
LCM of Numerators i.e. for 285,397 is 113145
GCF of denominators i.e. for 57,6972 is 3.
Thus, LCM of Fractions is 37715.Finally, LCM of Fractions for 285/57, 397/6972 is 37715.