Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/14, 97/18, 53/36, 17/967 quickly i.e. 6379981 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/14, 97/18, 53/36, 17/967 is 6379981.
LCM(73/14, 97/18, 53/36, 17/967) = 6379981
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/14,97/18,53/36,17/967
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 73,97,53,17
Least Common Multiple of Numerators i.e. LCM of 73,97,53,17 is 6379981.
GCF of Denominators means GCF of 14,18,36,967 as per the given fractions.
GCF of 14,18,36,967 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,97,53,17
Given numbers has no common factors except 1. So, there LCM is their product i.e 6379981
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 73,97,53,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,97,53,17) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,97,53,17) x common factors =1 x 1 = 1
LCM(73,97,53,17) = ( 73 × 97 × 53 × 17 ) / 1
LCM(73,97,53,17) = 6379981 / 1
LCM(73,97,53,17) = 6379981
Lets's calculate GCF of 14,18,36,967
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6379981/1
Therefore the LCM of Fractions 73/14,97/18,53/36,17/967 is 6379981
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
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 967
List of positive integer factors of 967 that divides 967 without a remainder.
1,967
Greatest Common Factor
We found the factors 14,18,36,967 . The biggest common factor number is the GCF number.
So the greatest common factor 14,18,36,967 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 73/14, 97/18, 53/36, 17/967?
Answer: LCM of Numerators as per given numbers 73/14, 97/18, 53/36, 17/967 is
LCM of Numerators i.e. for 73,97,53,17 is 6379981
GCF of denominators i.e. for 14,18,36,967 is 1.
Thus, LCM of Fractions is 6379981.Finally, LCM of Fractions for 73/14, 97/18, 53/36, 17/967 is 6379981.