Find the LCM of 849, 559, 258, 962, 462 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 849, 559, 258, 962, 462. So, keep reading to learn more.
Given numbers are 849,559,258,962,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,559,258,962,462 is 2704219518.
Find LCM of 849,559,258,962,462 with Prime Factorization
2 | 849, 559, 258, 962, 462 |
3 | 849, 559, 129, 481, 231 |
13 | 283, 559, 43, 481, 77 |
43 | 283, 43, 43, 37, 77 |
283, 1, 1, 37, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 43 x 283 x 1 x 1 x 37 x 77 = 2704219518
Therefore, the lowest common multiple of 849,559,258,962,462 is 2704219518.
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.
849 x 559 x 258 x 962 x 462 = 54419713580232
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.
849 : 1, 3, 283, 849
559 : 1, 13, 43, 559
258 : 1, 2, 3, 6, 43, 86, 129, 258
962 : 1, 2, 13, 26, 37, 74, 481, 962
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,559,258,962,462, is 1.
Now, the common factors can be found like this.
849:3x 283
559:13x 43
258:2x 3x 43
962:2x 13x 37
462:2x 3x 7x 11
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 3x 13x 43 = 20124
Therefore, the value for common factors is 20124.
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 = 54419713580232/(1x20124)
LCM = 54419713580232/20124
LCM = 2704219518
Thus, we can understand that the LCM of 849,559,258,962,462 is 2704219518.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 849, 559, 258, 962, 462?
Answer: LCM of 849, 559, 258, 962, 462 is 2704219518.
2. How to calculate the LCM of 849, 559, 258, 962, 462?
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 849, 559, 258, 962, 462.
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}.