Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/18, 53/49, 713/959 quickly i.e. 680202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/18, 53/49, 713/959 is 680202.
LCM(18/18, 53/49, 713/959) = 680202
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/18,53/49,713/959
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 18,53,713
Least Common Multiple of Numerators i.e. LCM of 18,53,713 is 680202.
GCF of Denominators means GCF of 18,49,959 as per the given fractions.
GCF of 18,49,959 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,53,713
Given numbers has no common factors except 1. So, there LCM is their product i.e 680202
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 18,53,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,53,713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,53,713) x common factors =1 x 1 = 1
LCM(18,53,713) = ( 18 × 53 × 713 ) / 1
LCM(18,53,713) = 680202 / 1
LCM(18,53,713) = 680202
Lets's calculate GCF of 18,49,959
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 680202/1
Therefore the LCM of Fractions 18/18,53/49,713/959 is 680202
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Greatest Common Factor
We found the factors 18,49,959 . The biggest common factor number is the GCF number.
So the greatest common factor 18,49,959 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 18/18, 53/49, 713/959?
Answer: LCM of Numerators as per given numbers 18/18, 53/49, 713/959 is
LCM of Numerators i.e. for 18,53,713 is 680202
GCF of denominators i.e. for 18,49,959 is 1.
Thus, LCM of Fractions is 680202.Finally, LCM of Fractions for 18/18, 53/49, 713/959 is 680202.