Find the LCM of 363, 644, 488, 865, 459 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 363, 644, 488, 865, 459. So, keep reading to learn more.
Given numbers are 363,644,488,865,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,644,488,865,459 is 3774503751480.
Find LCM of 363,644,488,865,459 with Prime Factorization
2 | 363, 644, 488, 865, 459 |
2 | 363, 322, 244, 865, 459 |
3 | 363, 161, 122, 865, 459 |
121, 161, 122, 865, 153 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 121 x 161 x 122 x 865 x 153 = 3774503751480
Therefore, the lowest common multiple of 363,644,488,865,459 is 3774503751480.
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.
363 x 644 x 488 x 865 x 459 = 45294045017760
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.
363 : 1, 3, 11, 33, 121, 363
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
488 : 1, 2, 4, 8, 61, 122, 244, 488
865 : 1, 5, 173, 865
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,644,488,865,459, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
644:2x 2x 7x 23
488:2x 2x 2x 61
865:5x 173
459:3x 3x 3x 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 3 = 12
Therefore, the value for common factors is 12.
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 = 45294045017760/(1x12)
LCM = 45294045017760/12
LCM = 3774503751480
Thus, we can understand that the LCM of 363,644,488,865,459 is 3774503751480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 363, 644, 488, 865, 459?
Answer: LCM of 363, 644, 488, 865, 459 is 3774503751480.
2. How to calculate the LCM of 363, 644, 488, 865, 459?
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 363, 644, 488, 865, 459.
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}.