Find the LCM of 808, 852, 181, 354, 649 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 808, 852, 181, 354, 649. So, keep reading to learn more.
Given numbers are 808,852,181,354,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,852,181,354,649 is 20216884776.
Find LCM of 808,852,181,354,649 with Prime Factorization
2 | 808, 852, 181, 354, 649 |
2 | 404, 426, 181, 177, 649 |
3 | 202, 213, 181, 177, 649 |
59 | 202, 71, 181, 59, 649 |
202, 71, 181, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 202 x 71 x 181 x 1 x 11 = 20216884776
Therefore, the lowest common multiple of 808,852,181,354,649 is 20216884776.
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.
808 x 852 x 181 x 354 x 649 = 28627108842816
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
181 : 1, 181
354 : 1, 2, 3, 6, 59, 118, 177, 354
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,852,181,354,649, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
852:2x 2x 3x 71
181:181
354:2x 3x 59
649:11x 59
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 3x 59 = 1416
Therefore, the value for common factors is 1416.
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 = 28627108842816/(1x1416)
LCM = 28627108842816/1416
LCM = 20216884776
Thus, we can understand that the LCM of 808,852,181,354,649 is 20216884776.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 808, 852, 181, 354, 649?
Answer: LCM of 808, 852, 181, 354, 649 is 20216884776.
2. How to calculate the LCM of 808, 852, 181, 354, 649?
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 808, 852, 181, 354, 649.
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}.