LCM of 328, 490, 404, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 328, 490, 404, 416 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 328, 490, 404, 416. So, keep reading to learn more.
Given numbers are 328,490,404,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 328,490,404,416 is 422050720.
Find LCM of 328,490,404,416 with Prime Factorization
| 2 | 328, 490, 404, 416 |
| 2 | 164, 245, 202, 208 |
| 2 | 82, 245, 101, 104 |
| 41, 245, 101, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 41 x 245 x 101 x 52 = 422050720
Therefore, the lowest common multiple of 328,490,404,416 is 422050720.
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.
328 x 490 x 404 x 416 = 27011246080
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.
328 : 1, 2, 4, 8, 41, 82, 164, 328
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
404 : 1, 2, 4, 101, 202, 404
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,490,404,416, is 2.
Now, the common factors can be found like this.
328:2x 2x 2x 41
490:2x 5x 7x 7
404:2x 2x 101
416:2x 2x 2x 2x 2x 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 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 27011246080/(2x32)
LCM = 27011246080/64
LCM = 422050720
Thus, we can understand that the LCM of 328,490,404,416 is 422050720.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 328, 490, 404, 416
1. What is the LCM of 328, 490, 404, 416?
Answer: LCM of 328, 490, 404, 416 is 422050720.
2. How to calculate the LCM of 328, 490, 404, 416?
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 328, 490, 404, 416.
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}.