Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/27, 238/42, 488/15 quickly i.e. 58072/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/27, 238/42, 488/15 is 58072/3.
LCM(8/27, 238/42, 488/15) = 58072/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/27,238/42,488/15
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 8,238,488
Least Common Multiple of Numerators i.e. LCM of 8,238,488 is 58072.
GCF of Denominators means GCF of 27,42,15 as per the given fractions.
GCF of 27,42,15 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,238,488
2 | 8, 238, 488 |
2 | 4, 119, 244 |
2 | 2, 119, 122 |
1, 119, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 119 x 61 = 58072
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 8,238,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,238,488) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(8,238,488) x common factors =2 x 8 = 16
LCM(8,238,488) = ( 8 × 238 × 488 ) / 16
LCM(8,238,488) = 929152 / 16
LCM(8,238,488) = 58072
Lets's calculate GCF of 27,42,15
3 | 27, 42, 15 |
9, 14, 5 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58072/3
Therefore the LCM of Fractions 8/27,238/42,488/15 is 58072/3
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Greatest Common Factor
We found the factors 27,42,15 . The biggest common factor number is the GCF number.
So the greatest common factor 27,42,15 is 3.
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 8/27, 238/42, 488/15?
Answer: LCM of Numerators as per given numbers 8/27, 238/42, 488/15 is
LCM of Numerators i.e. for 8,238,488 is 58072
GCF of denominators i.e. for 27,42,15 is 3.
Thus, LCM of Fractions is 58072/3.Finally, LCM of Fractions for 8/27, 238/42, 488/15 is 58072/3.