Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/328, 339/286, 556/854 quickly i.e. 1790598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/328, 339/286, 556/854 is 1790598.
LCM(76/328, 339/286, 556/854) = 1790598
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/328,339/286,556/854
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 76,339,556
Least Common Multiple of Numerators i.e. LCM of 76,339,556 is 3581196.
GCF of Denominators means GCF of 328,286,854 as per the given fractions.
GCF of 328,286,854 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,339,556
2 | 76, 339, 556 |
2 | 38, 339, 278 |
19, 339, 139 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 339 x 139 = 3581196
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 76,339,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,339,556) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(76,339,556) x common factors =1 x 4 = 4
LCM(76,339,556) = ( 76 × 339 × 556 ) / 4
LCM(76,339,556) = 14324784 / 4
LCM(76,339,556) = 3581196
Lets's calculate GCF of 328,286,854
2 | 328, 286, 854 |
164, 143, 427 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3581196/2
Therefore the LCM of Fractions 76/328,339/286,556/854 is 1790598
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 328,286,854 . The biggest common factor number is the GCF number.
So the greatest common factor 328,286,854 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 76/328, 339/286, 556/854?
Answer: LCM of Numerators as per given numbers 76/328, 339/286, 556/854 is
LCM of Numerators i.e. for 76,339,556 is 3581196
GCF of denominators i.e. for 328,286,854 is 2.
Thus, LCM of Fractions is 1790598.Finally, LCM of Fractions for 76/328, 339/286, 556/854 is 1790598.