Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/37, 11/27, 48/87, 26/896 quickly i.e. 6864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/37, 11/27, 48/87, 26/896 is 6864.
LCM(88/37, 11/27, 48/87, 26/896) = 6864
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/37,11/27,48/87,26/896
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 88,11,48,26
Least Common Multiple of Numerators i.e. LCM of 88,11,48,26 is 6864.
GCF of Denominators means GCF of 37,27,87,896 as per the given fractions.
GCF of 37,27,87,896 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,11,48,26
2 | 88, 11, 48, 26 |
2 | 44, 11, 24, 13 |
2 | 22, 11, 12, 13 |
11 | 11, 11, 6, 13 |
1, 1, 6, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 1 x 1 x 6 x 13 = 6864
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 88,11,48,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,11,48,26) = 1
common factors(in case of two or more numbers have common factors) = 176
GCF(88,11,48,26) x common factors =1 x 176 = 176
LCM(88,11,48,26) = ( 88 × 11 × 48 × 26 ) / 176
LCM(88,11,48,26) = 1208064 / 176
LCM(88,11,48,26) = 6864
Lets's calculate GCF of 37,27,87,896
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6864/1
Therefore the LCM of Fractions 88/37,11/27,48/87,26/896 is 6864
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Greatest Common Factor
We found the factors 37,27,87,896 . The biggest common factor number is the GCF number.
So the greatest common factor 37,27,87,896 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 88/37, 11/27, 48/87, 26/896?
Answer: LCM of Numerators as per given numbers 88/37, 11/27, 48/87, 26/896 is
LCM of Numerators i.e. for 88,11,48,26 is 6864
GCF of denominators i.e. for 37,27,87,896 is 1.
Thus, LCM of Fractions is 6864.Finally, LCM of Fractions for 88/37, 11/27, 48/87, 26/896 is 6864.