Find the LCM of 505, 952, 266, 864, 400 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 505, 952, 266, 864, 400. So, keep reading to learn more.
Given numbers are 505,952,266,864,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,952,266,864,400 is 4932597600.
Find LCM of 505,952,266,864,400 with Prime Factorization
2 | 505, 952, 266, 864, 400 |
2 | 505, 476, 133, 432, 200 |
2 | 505, 238, 133, 216, 100 |
2 | 505, 119, 133, 108, 50 |
5 | 505, 119, 133, 54, 25 |
7 | 101, 119, 133, 54, 5 |
101, 17, 19, 54, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 7 x 101 x 17 x 19 x 54 x 5 = 4932597600
Therefore, the lowest common multiple of 505,952,266,864,400 is 4932597600.
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.
505 x 952 x 266 x 864 x 400 = 44196074496000
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.
505 : 1, 5, 101, 505
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
266 : 1, 2, 7, 14, 19, 38, 133, 266
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,952,266,864,400, is 1.
Now, the common factors can be found like this.
505:5x 101
952:2x 2x 2x 7x 17
266:2x 7x 19
864:2x 2x 2x 2x 2x 3x 3x 3
400:2x 2x 2x 2x 5x 5
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 2x 2x 2x 5x 7 = 8960
Therefore, the value for common factors is 8960.
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 = 44196074496000/(1x8960)
LCM = 44196074496000/8960
LCM = 4932597600
Thus, we can understand that the LCM of 505,952,266,864,400 is 4932597600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 505, 952, 266, 864, 400?
Answer: LCM of 505, 952, 266, 864, 400 is 4932597600.
2. How to calculate the LCM of 505, 952, 266, 864, 400?
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 505, 952, 266, 864, 400.
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}.