Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 289/23, 498/51, 916/288 quickly i.e. 65916276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 289/23, 498/51, 916/288 is 65916276.
LCM(289/23, 498/51, 916/288) = 65916276
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 289/23,498/51,916/288
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 289,498,916
Least Common Multiple of Numerators i.e. LCM of 289,498,916 is 65916276.
GCF of Denominators means GCF of 23,51,288 as per the given fractions.
GCF of 23,51,288 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 289,498,916
2 | 289, 498, 916 |
289, 249, 458 |
∴ So the LCM of the given numbers is 2 x 289 x 249 x 458 = 65916276
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 289,498,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,498,916) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(289,498,916) x common factors =1 x 2 = 2
LCM(289,498,916) = ( 289 × 498 × 916 ) / 2
LCM(289,498,916) = 131832552 / 2
LCM(289,498,916) = 65916276
Lets's calculate GCF of 23,51,288
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65916276/1
Therefore the LCM of Fractions 289/23,498/51,916/288 is 65916276
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 23,51,288 . The biggest common factor number is the GCF number.
So the greatest common factor 23,51,288 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 289/23, 498/51, 916/288?
Answer: LCM of Numerators as per given numbers 289/23, 498/51, 916/288 is
LCM of Numerators i.e. for 289,498,916 is 65916276
GCF of denominators i.e. for 23,51,288 is 1.
Thus, LCM of Fractions is 65916276.Finally, LCM of Fractions for 289/23, 498/51, 916/288 is 65916276.