Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/397, 112/969, 513/607 quickly i.e. 57456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/397, 112/969, 513/607 is 57456.
LCM(18/397, 112/969, 513/607) = 57456
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/397,112/969,513/607
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 18,112,513
Least Common Multiple of Numerators i.e. LCM of 18,112,513 is 57456.
GCF of Denominators means GCF of 397,969,607 as per the given fractions.
GCF of 397,969,607 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,112,513
2 | 18, 112, 513 |
3 | 9, 56, 513 |
3 | 3, 56, 171 |
1, 56, 57 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 56 x 57 = 57456
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 18,112,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,112,513) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(18,112,513) x common factors =1 x 18 = 18
LCM(18,112,513) = ( 18 × 112 × 513 ) / 18
LCM(18,112,513) = 1034208 / 18
LCM(18,112,513) = 57456
Lets's calculate GCF of 397,969,607
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57456/1
Therefore the LCM of Fractions 18/397,112/969,513/607 is 57456
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1,607
Greatest Common Factor
We found the factors 397,969,607 . The biggest common factor number is the GCF number.
So the greatest common factor 397,969,607 is 1.
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 18/397, 112/969, 513/607?
Answer: LCM of Numerators as per given numbers 18/397, 112/969, 513/607 is
LCM of Numerators i.e. for 18,112,513 is 57456
GCF of denominators i.e. for 397,969,607 is 1.
Thus, LCM of Fractions is 57456.Finally, LCM of Fractions for 18/397, 112/969, 513/607 is 57456.