Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 718/27, 834/96, 136/894 quickly i.e. 6786536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 718/27, 834/96, 136/894 is 6786536.
LCM(718/27, 834/96, 136/894) = 6786536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 718/27,834/96,136/894
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 718,834,136
Least Common Multiple of Numerators i.e. LCM of 718,834,136 is 20359608.
GCF of Denominators means GCF of 27,96,894 as per the given fractions.
GCF of 27,96,894 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 718,834,136
2 | 718, 834, 136 |
359, 417, 68 |
∴ So the LCM of the given numbers is 2 x 359 x 417 x 68 = 20359608
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 718,834,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(718,834,136) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(718,834,136) x common factors =2 x 2 = 4
LCM(718,834,136) = ( 718 × 834 × 136 ) / 4
LCM(718,834,136) = 81438432 / 4
LCM(718,834,136) = 20359608
Lets's calculate GCF of 27,96,894
3 | 27, 96, 894 |
9, 32, 298 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20359608/3
Therefore the LCM of Fractions 718/27,834/96,136/894 is 6786536
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Greatest Common Factor
We found the factors 27,96,894 . The biggest common factor number is the GCF number.
So the greatest common factor 27,96,894 is 3.
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 718/27, 834/96, 136/894?
Answer: LCM of Numerators as per given numbers 718/27, 834/96, 136/894 is
LCM of Numerators i.e. for 718,834,136 is 20359608
GCF of denominators i.e. for 27,96,894 is 3.
Thus, LCM of Fractions is 6786536.Finally, LCM of Fractions for 718/27, 834/96, 136/894 is 6786536.