Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/794, 2956/9150 quickly i.e. 119718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/794, 2956/9150 is 119718.
LCM(81/794, 2956/9150) = 119718
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/794,2956/9150
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 81,2956
Least Common Multiple of Numerators i.e. LCM of 81,2956 is 239436.
GCF of Denominators means GCF of 794,9150 as per the given fractions.
GCF of 794,9150 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,2956
Given numbers has no common factors except 1. So, there LCM is their product i.e 239436
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 81,2956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,2956) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,2956) x common factors =1 x 1 = 1
LCM(81,2956) = ( 81 × 2956 ) / 1
LCM(81,2956) = 239436 / 1
LCM(81,2956) = 239436
Lets's calculate GCF of 794,9150
2 | 794, 9150 |
397, 4575 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239436/2
Therefore the LCM of Fractions 81/794,2956/9150 is 119718
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 9150
List of positive integer factors of 9150 that divides 9150 without a remainder.
1,2,3,5,6,10,15,25,30,50,61,75,122,150,183,305,366,610,915,1525,1830,3050,4575,9150
Greatest Common Factor
We found the factors 794,9150 . The biggest common factor number is the GCF number.
So the greatest common factor 794,9150 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 81/794, 2956/9150?
Answer: LCM of Numerators as per given numbers 81/794, 2956/9150 is
LCM of Numerators i.e. for 81,2956 is 239436
GCF of denominators i.e. for 794,9150 is 2.
Thus, LCM of Fractions is 119718.Finally, LCM of Fractions for 81/794, 2956/9150 is 119718.