Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/247, 805/329, 326/765 quickly i.e. 2361870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/247, 805/329, 326/765 is 2361870.
LCM(18/247, 805/329, 326/765) = 2361870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/247,805/329,326/765
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 18,805,326
Least Common Multiple of Numerators i.e. LCM of 18,805,326 is 2361870.
GCF of Denominators means GCF of 247,329,765 as per the given fractions.
GCF of 247,329,765 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,805,326
2 | 18, 805, 326 |
9, 805, 163 |
∴ So the LCM of the given numbers is 2 x 9 x 805 x 163 = 2361870
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 18,805,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,805,326) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(18,805,326) x common factors =1 x 2 = 2
LCM(18,805,326) = ( 18 × 805 × 326 ) / 2
LCM(18,805,326) = 4723740 / 2
LCM(18,805,326) = 2361870
Lets's calculate GCF of 247,329,765
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2361870/1
Therefore the LCM of Fractions 18/247,805/329,326/765 is 2361870
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Greatest Common Factor
We found the factors 247,329,765 . The biggest common factor number is the GCF number.
So the greatest common factor 247,329,765 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 18/247, 805/329, 326/765?
Answer: LCM of Numerators as per given numbers 18/247, 805/329, 326/765 is
LCM of Numerators i.e. for 18,805,326 is 2361870
GCF of denominators i.e. for 247,329,765 is 1.
Thus, LCM of Fractions is 2361870.Finally, LCM of Fractions for 18/247, 805/329, 326/765 is 2361870.