Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 11/136, 95/448, 774/878 quickly i.e. 404415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 11/136, 95/448, 774/878 is 404415.
LCM(11/136, 95/448, 774/878) = 404415
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 11/136,95/448,774/878
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 11,95,774
Least Common Multiple of Numerators i.e. LCM of 11,95,774 is 808830.
GCF of Denominators means GCF of 136,448,878 as per the given fractions.
GCF of 136,448,878 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 11,95,774
Given numbers has no common factors except 1. So, there LCM is their product i.e 808830
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 11,95,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,95,774) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,95,774) x common factors =1 x 1 = 1
LCM(11,95,774) = ( 11 × 95 × 774 ) / 1
LCM(11,95,774) = 808830 / 1
LCM(11,95,774) = 808830
Lets's calculate GCF of 136,448,878
2 | 136, 448, 878 |
68, 224, 439 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 808830/2
Therefore the LCM of Fractions 11/136,95/448,774/878 is 404415
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 878
List of positive integer factors of 878 that divides 878 without a remainder.
1,2,439,878
Greatest Common Factor
We found the factors 136,448,878 . The biggest common factor number is the GCF number.
So the greatest common factor 136,448,878 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 11/136, 95/448, 774/878?
Answer: LCM of Numerators as per given numbers 11/136, 95/448, 774/878 is
LCM of Numerators i.e. for 11,95,774 is 808830
GCF of denominators i.e. for 136,448,878 is 2.
Thus, LCM of Fractions is 404415.Finally, LCM of Fractions for 11/136, 95/448, 774/878 is 404415.