LCM of 513, 131, 519, 178, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 131, 519, 178, 329 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 513, 131, 519, 178, 329. So, keep reading to learn more.
Given numbers are 513,131,519,178,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,131,519,178,329 is 680848780878.
Find LCM of 513,131,519,178,329 with Prime Factorization
| 3 | 513, 131, 519, 178, 329 |
| 171, 131, 173, 178, 329 |
Multiply the prime numbers at the bottom and the left side.
3 x 171 x 131 x 173 x 178 x 329 = 680848780878
Therefore, the lowest common multiple of 513,131,519,178,329 is 680848780878.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
513 x 131 x 519 x 178 x 329 = 2042546342634
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
513 : 1, 3, 9, 19, 27, 57, 171, 513
131 : 1, 131
519 : 1, 3, 173, 519
178 : 1, 2, 89, 178
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,131,519,178,329, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
131:131
519:3x 173
178:2x 89
329:7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 2042546342634/(1x3)
LCM = 2042546342634/3
LCM = 680848780878
Thus, we can understand that the LCM of 513,131,519,178,329 is 680848780878.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 513, 131, 519, 178, 329
1. What is the LCM of 513, 131, 519, 178, 329?
Answer: LCM of 513, 131, 519, 178, 329 is 680848780878.
2. How to calculate the LCM of 513, 131, 519, 178, 329?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 513, 131, 519, 178, 329.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.