Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/93, 94/17, 65/437 quickly i.e. 18330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/93, 94/17, 65/437 is 18330.
LCM(30/93, 94/17, 65/437) = 18330
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/93,94/17,65/437
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 30,94,65
Least Common Multiple of Numerators i.e. LCM of 30,94,65 is 18330.
GCF of Denominators means GCF of 93,17,437 as per the given fractions.
GCF of 93,17,437 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,94,65
2 | 30, 94, 65 |
5 | 15, 47, 65 |
3, 47, 13 |
∴ So the LCM of the given numbers is 2 x 5 x 3 x 47 x 13 = 18330
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 30,94,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,94,65) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(30,94,65) x common factors =1 x 10 = 10
LCM(30,94,65) = ( 30 × 94 × 65 ) / 10
LCM(30,94,65) = 183300 / 10
LCM(30,94,65) = 18330
Lets's calculate GCF of 93,17,437
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18330/1
Therefore the LCM of Fractions 30/93,94/17,65/437 is 18330
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Greatest Common Factor
We found the factors 93,17,437 . The biggest common factor number is the GCF number.
So the greatest common factor 93,17,437 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 30/93, 94/17, 65/437?
Answer: LCM of Numerators as per given numbers 30/93, 94/17, 65/437 is
LCM of Numerators i.e. for 30,94,65 is 18330
GCF of denominators i.e. for 93,17,437 is 1.
Thus, LCM of Fractions is 18330.Finally, LCM of Fractions for 30/93, 94/17, 65/437 is 18330.