Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/88, 34/95, 57/15, 95/605 quickly i.e. 29070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/88, 34/95, 57/15, 95/605 is 29070.
LCM(18/88, 34/95, 57/15, 95/605) = 29070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/88,34/95,57/15,95/605
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 18,34,57,95
Least Common Multiple of Numerators i.e. LCM of 18,34,57,95 is 29070.
GCF of Denominators means GCF of 88,95,15,605 as per the given fractions.
GCF of 88,95,15,605 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,34,57,95
2 | 18, 34, 57, 95 |
3 | 9, 17, 57, 95 |
19 | 3, 17, 19, 95 |
3, 17, 1, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 3 x 17 x 1 x 5 = 29070
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 18,34,57,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,34,57,95) = 1
common factors(in case of two or more numbers have common factors) = 114
GCF(18,34,57,95) x common factors =1 x 114 = 114
LCM(18,34,57,95) = ( 18 × 34 × 57 × 95 ) / 114
LCM(18,34,57,95) = 3313980 / 114
LCM(18,34,57,95) = 29070
Lets's calculate GCF of 88,95,15,605
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29070/1
Therefore the LCM of Fractions 18/88,34/95,57/15,95/605 is 29070
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Greatest Common Factor
We found the factors 88,95,15,605 . The biggest common factor number is the GCF number.
So the greatest common factor 88,95,15,605 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 18/88, 34/95, 57/15, 95/605?
Answer: LCM of Numerators as per given numbers 18/88, 34/95, 57/15, 95/605 is
LCM of Numerators i.e. for 18,34,57,95 is 29070
GCF of denominators i.e. for 88,95,15,605 is 1.
Thus, LCM of Fractions is 29070.Finally, LCM of Fractions for 18/88, 34/95, 57/15, 95/605 is 29070.