Find the LCM of 462, 989, 544, 184, 818 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 462, 989, 544, 184, 818. So, keep reading to learn more.
Given numbers are 462,989,544,184,818
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,989,544,184,818 is 50831213664.
Find LCM of 462,989,544,184,818 with Prime Factorization
2 | 462, 989, 544, 184, 818 |
2 | 231, 989, 272, 92, 409 |
2 | 231, 989, 136, 46, 409 |
23 | 231, 989, 68, 23, 409 |
231, 43, 68, 1, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 231 x 43 x 68 x 1 x 409 = 50831213664
Therefore, the lowest common multiple of 462,989,544,184,818 is 50831213664.
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.
462 x 989 x 544 x 184 x 818 = 37411773256704
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
989 : 1, 23, 43, 989
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
184 : 1, 2, 4, 8, 23, 46, 92, 184
818 : 1, 2, 409, 818
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,989,544,184,818, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
989:23x 43
544:2x 2x 2x 2x 2x 17
184:2x 2x 2x 23
818:2x 409
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 2x 23 = 736
Therefore, the value for common factors is 736.
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 = 37411773256704/(1x736)
LCM = 37411773256704/736
LCM = 50831213664
Thus, we can understand that the LCM of 462,989,544,184,818 is 50831213664.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 462, 989, 544, 184, 818?
Answer: LCM of 462, 989, 544, 184, 818 is 50831213664.
2. How to calculate the LCM of 462, 989, 544, 184, 818?
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 462, 989, 544, 184, 818.
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}.