Find the LCM of 316, 663, 689, 800, 465 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 316, 663, 689, 800, 465. So, keep reading to learn more.
Given numbers are 316,663,689,800,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 316,663,689,800,465 is 68844328800.
Find LCM of 316,663,689,800,465 with Prime Factorization
2 | 316, 663, 689, 800, 465 |
2 | 158, 663, 689, 400, 465 |
3 | 79, 663, 689, 200, 465 |
5 | 79, 221, 689, 200, 155 |
13 | 79, 221, 689, 40, 31 |
79, 17, 53, 40, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 79 x 17 x 53 x 40 x 31 = 68844328800
Therefore, the lowest common multiple of 316,663,689,800,465 is 68844328800.
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.
316 x 663 x 689 x 800 x 465 = 53698576464000
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.
316 : 1, 2, 4, 79, 158, 316
663 : 1, 3, 13, 17, 39, 51, 221, 663
689 : 1, 13, 53, 689
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,663,689,800,465, is 1.
Now, the common factors can be found like this.
316:2x 2x 79
663:3x 13x 17
689:13x 53
800:2x 2x 2x 2x 2x 5x 5
465:3x 5x 31
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 5x 13 = 780
Therefore, the value for common factors is 780.
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 = 53698576464000/(1x780)
LCM = 53698576464000/780
LCM = 68844328800
Thus, we can understand that the LCM of 316,663,689,800,465 is 68844328800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 316, 663, 689, 800, 465?
Answer: LCM of 316, 663, 689, 800, 465 is 68844328800.
2. How to calculate the LCM of 316, 663, 689, 800, 465?
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 316, 663, 689, 800, 465.
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}.