Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/92, 794/88, 774/230 quickly i.e. 1382751 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/92, 794/88, 774/230 is 1382751.
LCM(81/92, 794/88, 774/230) = 1382751
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/92,794/88,774/230
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 81,794,774
Least Common Multiple of Numerators i.e. LCM of 81,794,774 is 2765502.
GCF of Denominators means GCF of 92,88,230 as per the given fractions.
GCF of 92,88,230 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,794,774
2 | 81, 794, 774 |
3 | 81, 397, 387 |
3 | 27, 397, 129 |
9, 397, 43 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 9 x 397 x 43 = 2765502
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 81,794,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,794,774) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(81,794,774) x common factors =1 x 18 = 18
LCM(81,794,774) = ( 81 × 794 × 774 ) / 18
LCM(81,794,774) = 49779036 / 18
LCM(81,794,774) = 2765502
Lets's calculate GCF of 92,88,230
2 | 92, 88, 230 |
46, 44, 115 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2765502/2
Therefore the LCM of Fractions 81/92,794/88,774/230 is 1382751
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Greatest Common Factor
We found the factors 92,88,230 . The biggest common factor number is the GCF number.
So the greatest common factor 92,88,230 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 81/92, 794/88, 774/230?
Answer: LCM of Numerators as per given numbers 81/92, 794/88, 774/230 is
LCM of Numerators i.e. for 81,794,774 is 2765502
GCF of denominators i.e. for 92,88,230 is 2.
Thus, LCM of Fractions is 1382751.Finally, LCM of Fractions for 81/92, 794/88, 774/230 is 1382751.