Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/296, 65/261, 512/339 quickly i.e. 632320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/296, 65/261, 512/339 is 632320.
LCM(76/296, 65/261, 512/339) = 632320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/296,65/261,512/339
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 76,65,512
Least Common Multiple of Numerators i.e. LCM of 76,65,512 is 632320.
GCF of Denominators means GCF of 296,261,339 as per the given fractions.
GCF of 296,261,339 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,65,512
2 | 76, 65, 512 |
2 | 38, 65, 256 |
19, 65, 128 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 65 x 128 = 632320
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 76,65,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,65,512) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(76,65,512) x common factors =1 x 4 = 4
LCM(76,65,512) = ( 76 × 65 × 512 ) / 4
LCM(76,65,512) = 2529280 / 4
LCM(76,65,512) = 632320
Lets's calculate GCF of 296,261,339
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 632320/1
Therefore the LCM of Fractions 76/296,65/261,512/339 is 632320
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Greatest Common Factor
We found the factors 296,261,339 . The biggest common factor number is the GCF number.
So the greatest common factor 296,261,339 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 76/296, 65/261, 512/339?
Answer: LCM of Numerators as per given numbers 76/296, 65/261, 512/339 is
LCM of Numerators i.e. for 76,65,512 is 632320
GCF of denominators i.e. for 296,261,339 is 1.
Thus, LCM of Fractions is 632320.Finally, LCM of Fractions for 76/296, 65/261, 512/339 is 632320.