Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/91, 97/815, 18/294 quickly i.e. 1746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/91, 97/815, 18/294 is 1746.
LCM(3/91, 97/815, 18/294) = 1746
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/91,97/815,18/294
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 3,97,18
Least Common Multiple of Numerators i.e. LCM of 3,97,18 is 1746.
GCF of Denominators means GCF of 91,815,294 as per the given fractions.
GCF of 91,815,294 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,97,18
3 | 3, 97, 18 |
1, 97, 6 |
∴ So the LCM of the given numbers is 3 x 1 x 97 x 6 = 1746
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 3,97,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,97,18) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(3,97,18) x common factors =1 x 3 = 3
LCM(3,97,18) = ( 3 × 97 × 18 ) / 3
LCM(3,97,18) = 5238 / 3
LCM(3,97,18) = 1746
Lets's calculate GCF of 91,815,294
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1746/1
Therefore the LCM of Fractions 3/91,97/815,18/294 is 1746
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Greatest Common Factor
We found the factors 91,815,294 . The biggest common factor number is the GCF number.
So the greatest common factor 91,815,294 is 1.
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 3/91, 97/815, 18/294?
Answer: LCM of Numerators as per given numbers 3/91, 97/815, 18/294 is
LCM of Numerators i.e. for 3,97,18 is 1746
GCF of denominators i.e. for 91,815,294 is 1.
Thus, LCM of Fractions is 1746.Finally, LCM of Fractions for 3/91, 97/815, 18/294 is 1746.