LCM of 368, 408, 417, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 408, 417, 442 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 368, 408, 417, 442. So, keep reading to learn more.
Given numbers are 368,408,417,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,408,417,442 is 33913776.
Find LCM of 368,408,417,442 with Prime Factorization
| 2 | 368, 408, 417, 442 |
| 2 | 184, 204, 417, 221 |
| 2 | 92, 102, 417, 221 |
| 3 | 46, 51, 417, 221 |
| 17 | 46, 17, 139, 221 |
| 46, 1, 139, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 46 x 1 x 139 x 13 = 33913776
Therefore, the lowest common multiple of 368,408,417,442 is 33913776.
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.
368 x 408 x 417 x 442 = 27673641216
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
417 : 1, 3, 139, 417
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,408,417,442, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
408:2x 2x 2x 3x 17
417:3x 139
442:2x 13x 17
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 3x 17 = 816
Therefore, the value for common factors is 816.
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 = 27673641216/(1x816)
LCM = 27673641216/816
LCM = 33913776
Thus, we can understand that the LCM of 368,408,417,442 is 33913776.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 368, 408, 417, 442
1. What is the LCM of 368, 408, 417, 442?
Answer: LCM of 368, 408, 417, 442 is 33913776.
2. How to calculate the LCM of 368, 408, 417, 442?
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 368, 408, 417, 442.
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}.