Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/27, 75/58, 65/916 quickly i.e. 10725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/27, 75/58, 65/916 is 10725.
LCM(55/27, 75/58, 65/916) = 10725
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/27,75/58,65/916
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 55,75,65
Least Common Multiple of Numerators i.e. LCM of 55,75,65 is 10725.
GCF of Denominators means GCF of 27,58,916 as per the given fractions.
GCF of 27,58,916 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,75,65
5 | 55, 75, 65 |
11, 15, 13 |
∴ So the LCM of the given numbers is 5 x 11 x 15 x 13 = 10725
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 55,75,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,75,65) = 5
common factors(in case of two or more numbers have common factors) = 5
GCF(55,75,65) x common factors =5 x 5 = 25
LCM(55,75,65) = ( 55 × 75 × 65 ) / 25
LCM(55,75,65) = 268125 / 25
LCM(55,75,65) = 10725
Lets's calculate GCF of 27,58,916
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10725/1
Therefore the LCM of Fractions 55/27,75/58,65/916 is 10725
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Greatest Common Factor
We found the factors 27,58,916 . The biggest common factor number is the GCF number.
So the greatest common factor 27,58,916 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 55/27, 75/58, 65/916?
Answer: LCM of Numerators as per given numbers 55/27, 75/58, 65/916 is
LCM of Numerators i.e. for 55,75,65 is 10725
GCF of denominators i.e. for 27,58,916 is 1.
Thus, LCM of Fractions is 10725.Finally, LCM of Fractions for 55/27, 75/58, 65/916 is 10725.