Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/18, 36/12, 131/256 quickly i.e. 51876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/18, 36/12, 131/256 is 51876.
LCM(88/18, 36/12, 131/256) = 51876
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/18,36/12,131/256
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 88,36,131
Least Common Multiple of Numerators i.e. LCM of 88,36,131 is 103752.
GCF of Denominators means GCF of 18,12,256 as per the given fractions.
GCF of 18,12,256 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,36,131
2 | 88, 36, 131 |
2 | 44, 18, 131 |
22, 9, 131 |
∴ So the LCM of the given numbers is 2 x 2 x 22 x 9 x 131 = 103752
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 88,36,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,36,131) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(88,36,131) x common factors =1 x 4 = 4
LCM(88,36,131) = ( 88 × 36 × 131 ) / 4
LCM(88,36,131) = 415008 / 4
LCM(88,36,131) = 103752
Lets's calculate GCF of 18,12,256
2 | 18, 12, 256 |
9, 6, 128 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103752/2
Therefore the LCM of Fractions 88/18,36/12,131/256 is 51876
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Greatest Common Factor
We found the factors 18,12,256 . The biggest common factor number is the GCF number.
So the greatest common factor 18,12,256 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 88/18, 36/12, 131/256?
Answer: LCM of Numerators as per given numbers 88/18, 36/12, 131/256 is
LCM of Numerators i.e. for 88,36,131 is 103752
GCF of denominators i.e. for 18,12,256 is 2.
Thus, LCM of Fractions is 51876.Finally, LCM of Fractions for 88/18, 36/12, 131/256 is 51876.