Find the LCM of 330, 442, 310, 458, 468 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 330, 442, 310, 458, 468. So, keep reading to learn more.
Given numbers are 330,442,310,458,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,442,310,458,468 is 3106380420.
Find LCM of 330,442,310,458,468 with Prime Factorization
2 | 330, 442, 310, 458, 468 |
3 | 165, 221, 155, 229, 234 |
5 | 55, 221, 155, 229, 78 |
13 | 11, 221, 31, 229, 78 |
11, 17, 31, 229, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 11 x 17 x 31 x 229 x 6 = 3106380420
Therefore, the lowest common multiple of 330,442,310,458,468 is 3106380420.
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.
330 x 442 x 310 x 458 x 468 = 9691906910400
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
442 : 1, 2, 13, 17, 26, 34, 221, 442
310 : 1, 2, 5, 10, 31, 62, 155, 310
458 : 1, 2, 229, 458
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,442,310,458,468, is 2.
Now, the common factors can be found like this.
330:2x 3x 5x 11
442:2x 13x 17
310:2x 5x 31
458:2x 229
468:2x 2x 3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 5x 13 = 1560
Therefore, the value for common factors is 1560.
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 = 9691906910400/(2x1560)
LCM = 9691906910400/3120
LCM = 3106380420
Thus, we can understand that the LCM of 330,442,310,458,468 is 3106380420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 330, 442, 310, 458, 468?
Answer: LCM of 330, 442, 310, 458, 468 is 3106380420.
2. How to calculate the LCM of 330, 442, 310, 458, 468?
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 330, 442, 310, 458, 468.
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}.