Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/110, 32/878, 134/104 quickly i.e. 11792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/110, 32/878, 134/104 is 11792.
LCM(11/110, 32/878, 134/104) = 11792
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/110,32/878,134/104
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 11,32,134
Least Common Multiple of Numerators i.e. LCM of 11,32,134 is 23584.
GCF of Denominators means GCF of 110,878,104 as per the given fractions.
GCF of 110,878,104 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,32,134
2 | 11, 32, 134 |
11, 16, 67 |
∴ So the LCM of the given numbers is 2 x 11 x 16 x 67 = 23584
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 11,32,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,32,134) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(11,32,134) x common factors =1 x 2 = 2
LCM(11,32,134) = ( 11 × 32 × 134 ) / 2
LCM(11,32,134) = 47168 / 2
LCM(11,32,134) = 23584
Lets's calculate GCF of 110,878,104
2 | 110, 878, 104 |
55, 439, 52 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23584/2
Therefore the LCM of Fractions 11/110,32/878,134/104 is 11792
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Factors of 104
List of positive integer factors of 104 that divides 104 without a remainder.
1,2,4,8,13,26,52,104
Greatest Common Factor
We found the factors 110,878,104 . The biggest common factor number is the GCF number.
So the greatest common factor 110,878,104 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 11/110, 32/878, 134/104?
Answer: LCM of Numerators as per given numbers 11/110, 32/878, 134/104 is
LCM of Numerators i.e. for 11,32,134 is 23584
GCF of denominators i.e. for 110,878,104 is 2.
Thus, LCM of Fractions is 11792.Finally, LCM of Fractions for 11/110, 32/878, 134/104 is 11792.