Find the LCM of 652, 608, 814, 443, 506 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 652, 608, 814, 443, 506. So, keep reading to learn more.
Given numbers are 652,608,814,443,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,608,814,443,506 is 410976656992.
Find LCM of 652,608,814,443,506 with Prime Factorization
2 | 652, 608, 814, 443, 506 |
2 | 326, 304, 407, 443, 253 |
11 | 163, 152, 407, 443, 253 |
163, 152, 37, 443, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 163 x 152 x 37 x 443 x 23 = 410976656992
Therefore, the lowest common multiple of 652,608,814,443,506 is 410976656992.
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.
652 x 608 x 814 x 443 x 506 = 72331891630592
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.
652 : 1, 2, 4, 163, 326, 652
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
814 : 1, 2, 11, 22, 37, 74, 407, 814
443 : 1, 443
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,608,814,443,506, is 1.
Now, the common factors can be found like this.
652:2x 2x 163
608:2x 2x 2x 2x 2x 19
814:2x 11x 37
443:443
506:2x 11x 23
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 11 = 176
Therefore, the value for common factors is 176.
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 = 72331891630592/(1x176)
LCM = 72331891630592/176
LCM = 410976656992
Thus, we can understand that the LCM of 652,608,814,443,506 is 410976656992.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 652, 608, 814, 443, 506?
Answer: LCM of 652, 608, 814, 443, 506 is 410976656992.
2. How to calculate the LCM of 652, 608, 814, 443, 506?
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 652, 608, 814, 443, 506.
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}.