Find the LCM of 106, 799, 901, 489 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 106, 799, 901, 489. So, keep reading to learn more.
Given numbers are 106,799,901,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 106,799,901,489 is 41415366.
Find LCM of 106,799,901,489 with Prime Factorization
17 | 106, 799, 901, 489 |
53 | 106, 47, 53, 489 |
2, 47, 1, 489 |
Multiply the prime numbers at the bottom and the left side.
17 x 53 x 2 x 47 x 1 x 489 = 41415366
Therefore, the lowest common multiple of 106,799,901,489 is 41415366.
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.
106 x 799 x 901 x 489 = 37315244766
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.
106 : 1, 2, 53, 106
799 : 1, 17, 47, 799
901 : 1, 17, 53, 901
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,799,901,489, is 1.
Now, the common factors can be found like this.
106:2x 53
799:17x 47
901:17x 53
489:3x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 53 = 901
Therefore, the value for common factors is 901.
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 = 37315244766/(1x901)
LCM = 37315244766/901
LCM = 41415366
Thus, we can understand that the LCM of 106,799,901,489 is 41415366.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 106, 799, 901, 489?
Answer: LCM of 106, 799, 901, 489 is 41415366.
2. How to calculate the LCM of 106, 799, 901, 489?
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 106, 799, 901, 489.
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}.