LCM of 480, 489, 606, 462, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 489, 606, 462, 385 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 480, 489, 606, 462, 385. So, keep reading to learn more.
Given numbers are 480,489,606,462,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,489,606,462,385 is 608472480.
Find LCM of 480,489,606,462,385 with Prime Factorization
| 2 | 480, 489, 606, 462, 385 |
| 3 | 240, 489, 303, 231, 385 |
| 5 | 80, 163, 101, 77, 385 |
| 7 | 16, 163, 101, 77, 77 |
| 11 | 16, 163, 101, 11, 11 |
| 16, 163, 101, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 16 x 163 x 101 x 1 x 1 = 608472480
Therefore, the lowest common multiple of 480,489,606,462,385 is 608472480.
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.
480 x 489 x 606 x 462 x 385 = 25300285718400
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.
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
489 : 1, 3, 163, 489
606 : 1, 2, 3, 6, 101, 202, 303, 606
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,489,606,462,385, is 1.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
489:3x 163
606:2x 3x 101
462:2x 3x 7x 11
385:5x 7x 11
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 3x 3x 3x 5x 7x 11 = 41580
Therefore, the value for common factors is 41580.
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 = 25300285718400/(1x41580)
LCM = 25300285718400/41580
LCM = 608472480
Thus, we can understand that the LCM of 480,489,606,462,385 is 608472480.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 480, 489, 606, 462, 385
1. What is the LCM of 480, 489, 606, 462, 385?
Answer: LCM of 480, 489, 606, 462, 385 is 608472480.
2. How to calculate the LCM of 480, 489, 606, 462, 385?
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 480, 489, 606, 462, 385.
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}.