Find the LCM of 459, 638, 203, 371, 328 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 459, 638, 203, 371, 328. So, keep reading to learn more.
Given numbers are 459,638,203,371,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,638,203,371,328 is 17817678648.
Find LCM of 459,638,203,371,328 with Prime Factorization
2 | 459, 638, 203, 371, 328 |
7 | 459, 319, 203, 371, 164 |
29 | 459, 319, 29, 53, 164 |
459, 11, 1, 53, 164 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 29 x 459 x 11 x 1 x 53 x 164 = 17817678648
Therefore, the lowest common multiple of 459,638,203,371,328 is 17817678648.
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.
459 x 638 x 203 x 371 x 328 = 7233977531088
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
638 : 1, 2, 11, 22, 29, 58, 319, 638
203 : 1, 7, 29, 203
371 : 1, 7, 53, 371
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,638,203,371,328, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
638:2x 11x 29
203:7x 29
371:7x 53
328:2x 2x 2x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 29 = 406
Therefore, the value for common factors is 406.
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 = 7233977531088/(1x406)
LCM = 7233977531088/406
LCM = 17817678648
Thus, we can understand that the LCM of 459,638,203,371,328 is 17817678648.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 459, 638, 203, 371, 328?
Answer: LCM of 459, 638, 203, 371, 328 is 17817678648.
2. How to calculate the LCM of 459, 638, 203, 371, 328?
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 459, 638, 203, 371, 328.
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}.