Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/97, 91/72, 89/19, 79/436 quickly i.e. 17275167 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/97, 91/72, 89/19, 79/436 is 17275167.
LCM(27/97, 91/72, 89/19, 79/436) = 17275167
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/97,91/72,89/19,79/436
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 27,91,89,79
Least Common Multiple of Numerators i.e. LCM of 27,91,89,79 is 17275167.
GCF of Denominators means GCF of 97,72,19,436 as per the given fractions.
GCF of 97,72,19,436 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,91,89,79
Given numbers has no common factors except 1. So, there LCM is their product i.e 17275167
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 27,91,89,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,91,89,79) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,91,89,79) x common factors =1 x 1 = 1
LCM(27,91,89,79) = ( 27 × 91 × 89 × 79 ) / 1
LCM(27,91,89,79) = 17275167 / 1
LCM(27,91,89,79) = 17275167
Lets's calculate GCF of 97,72,19,436
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17275167/1
Therefore the LCM of Fractions 27/97,91/72,89/19,79/436 is 17275167
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Greatest Common Factor
We found the factors 97,72,19,436 . The biggest common factor number is the GCF number.
So the greatest common factor 97,72,19,436 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 27/97, 91/72, 89/19, 79/436?
Answer: LCM of Numerators as per given numbers 27/97, 91/72, 89/19, 79/436 is
LCM of Numerators i.e. for 27,91,89,79 is 17275167
GCF of denominators i.e. for 97,72,19,436 is 1.
Thus, LCM of Fractions is 17275167.Finally, LCM of Fractions for 27/97, 91/72, 89/19, 79/436 is 17275167.