Find the LCM of 917, 441, 216, 448, 621 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 917, 441, 216, 448, 621. So, keep reading to learn more.
Given numbers are 917,441,216,448,621
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,441,216,448,621 is 255116736.
Find LCM of 917,441,216,448,621 with Prime Factorization
2 | 917, 441, 216, 448, 621 |
2 | 917, 441, 108, 224, 621 |
2 | 917, 441, 54, 112, 621 |
3 | 917, 441, 27, 56, 621 |
3 | 917, 147, 9, 56, 207 |
3 | 917, 49, 3, 56, 69 |
7 | 917, 49, 1, 56, 23 |
131, 7, 1, 8, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 7 x 131 x 7 x 1 x 8 x 23 = 255116736
Therefore, the lowest common multiple of 917,441,216,448,621 is 255116736.
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.
917 x 441 x 216 x 448 x 621 = 24301399804416
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.
917 : 1, 7, 131, 917
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
621 : 1, 3, 9, 23, 27, 69, 207, 621
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,441,216,448,621, is 1.
Now, the common factors can be found like this.
917:7x 131
441:3x 3x 7x 7
216:2x 2x 2x 3x 3x 3
448:2x 2x 2x 2x 2x 2x 7
621:3x 3x 3x 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 3x 3x 3x 3x 3x 7x 7 = 95256
Therefore, the value for common factors is 95256.
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 = 24301399804416/(1x95256)
LCM = 24301399804416/95256
LCM = 255116736
Thus, we can understand that the LCM of 917,441,216,448,621 is 255116736.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 917, 441, 216, 448, 621?
Answer: LCM of 917, 441, 216, 448, 621 is 255116736.
2. How to calculate the LCM of 917, 441, 216, 448, 621?
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 917, 441, 216, 448, 621.
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}.