Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/45, 2/18, 38/71, 57/652 quickly i.e. 114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/45, 2/18, 38/71, 57/652 is 114.
LCM(3/45, 2/18, 38/71, 57/652) = 114
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/45,2/18,38/71,57/652
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 3,2,38,57
Least Common Multiple of Numerators i.e. LCM of 3,2,38,57 is 114.
GCF of Denominators means GCF of 45,18,71,652 as per the given fractions.
GCF of 45,18,71,652 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,2,38,57
2 | 3, 2, 38, 57 |
3 | 3, 1, 19, 57 |
19 | 1, 1, 19, 19 |
1, 1, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 1 x 1 x 1 = 114
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 3,2,38,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,2,38,57) = 1
common factors(in case of two or more numbers have common factors) = 114
GCF(3,2,38,57) x common factors =1 x 114 = 114
LCM(3,2,38,57) = ( 3 × 2 × 38 × 57 ) / 114
LCM(3,2,38,57) = 12996 / 114
LCM(3,2,38,57) = 114
Lets's calculate GCF of 45,18,71,652
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114/1
Therefore the LCM of Fractions 3/45,2/18,38/71,57/652 is 114
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Greatest Common Factor
We found the factors 45,18,71,652 . The biggest common factor number is the GCF number.
So the greatest common factor 45,18,71,652 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 3/45, 2/18, 38/71, 57/652?
Answer: LCM of Numerators as per given numbers 3/45, 2/18, 38/71, 57/652 is
LCM of Numerators i.e. for 3,2,38,57 is 114
GCF of denominators i.e. for 45,18,71,652 is 1.
Thus, LCM of Fractions is 114.Finally, LCM of Fractions for 3/45, 2/18, 38/71, 57/652 is 114.