Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/58, 21/12, 77/38, 42/86 quickly i.e. 231 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/58, 21/12, 77/38, 42/86 is 231.
LCM(11/58, 21/12, 77/38, 42/86) = 231
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/58,21/12,77/38,42/86
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 11,21,77,42
Least Common Multiple of Numerators i.e. LCM of 11,21,77,42 is 462.
GCF of Denominators means GCF of 58,12,38,86 as per the given fractions.
GCF of 58,12,38,86 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,21,77,42
3 | 11, 21, 77, 42 |
7 | 11, 7, 77, 14 |
11 | 11, 1, 11, 2 |
1, 1, 1, 2 |
∴ So the LCM of the given numbers is 3 x 7 x 11 x 1 x 1 x 1 x 2 = 462
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 11,21,77,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,21,77,42) = 1
common factors(in case of two or more numbers have common factors) = 1617
GCF(11,21,77,42) x common factors =1 x 1617 = 1617
LCM(11,21,77,42) = ( 11 × 21 × 77 × 42 ) / 1617
LCM(11,21,77,42) = 747054 / 1617
LCM(11,21,77,42) = 462
Lets's calculate GCF of 58,12,38,86
2 | 58, 12, 38, 86 |
29, 6, 19, 43 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 462/2
Therefore the LCM of Fractions 11/58,21/12,77/38,42/86 is 231
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Greatest Common Factor
We found the factors 58,12,38,86 . The biggest common factor number is the GCF number.
So the greatest common factor 58,12,38,86 is 2.
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 11/58, 21/12, 77/38, 42/86?
Answer: LCM of Numerators as per given numbers 11/58, 21/12, 77/38, 42/86 is
LCM of Numerators i.e. for 11,21,77,42 is 462
GCF of denominators i.e. for 58,12,38,86 is 2.
Thus, LCM of Fractions is 231.Finally, LCM of Fractions for 11/58, 21/12, 77/38, 42/86 is 231.