Find the LCM of 363, 493, 429, 588, 815 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 363, 493, 429, 588, 815. So, keep reading to learn more.
Given numbers are 363,493,429,588,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,493,429,588,815 is 371629838580.
Find LCM of 363,493,429,588,815 with Prime Factorization
3 | 363, 493, 429, 588, 815 |
11 | 121, 493, 143, 196, 815 |
11, 493, 13, 196, 815 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 11 x 493 x 13 x 196 x 815 = 371629838580
Therefore, the lowest common multiple of 363,493,429,588,815 is 371629838580.
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.
363 x 493 x 429 x 588 x 815 = 36791354019420
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.
363 : 1, 3, 11, 33, 121, 363
493 : 1, 17, 29, 493
429 : 1, 3, 11, 13, 33, 39, 143, 429
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,493,429,588,815, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
493:17x 29
429:3x 11x 13
588:2x 2x 3x 7x 7
815:5x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11 = 99
Therefore, the value for common factors is 99.
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 = 36791354019420/(1x99)
LCM = 36791354019420/99
LCM = 371629838580
Thus, we can understand that the LCM of 363,493,429,588,815 is 371629838580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 363, 493, 429, 588, 815?
Answer: LCM of 363, 493, 429, 588, 815 is 371629838580.
2. How to calculate the LCM of 363, 493, 429, 588, 815?
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 363, 493, 429, 588, 815.
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}.