Find the LCM of 442, 901, 160, 570, 904 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 442, 901, 160, 570, 904. So, keep reading to learn more.
Given numbers are 442,901,160,570,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,901,160,570,904 is 12070949280.
Find LCM of 442,901,160,570,904 with Prime Factorization
2 | 442, 901, 160, 570, 904 |
2 | 221, 901, 80, 285, 452 |
2 | 221, 901, 40, 285, 226 |
5 | 221, 901, 20, 285, 113 |
17 | 221, 901, 4, 57, 113 |
13, 53, 4, 57, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 17 x 13 x 53 x 4 x 57 x 113 = 12070949280
Therefore, the lowest common multiple of 442,901,160,570,904 is 12070949280.
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.
442 x 901 x 160 x 570 x 904 = 32832982041600
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
901 : 1, 17, 53, 901
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,901,160,570,904, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
901:17x 53
160:2x 2x 2x 2x 2x 5
570:2x 3x 5x 19
904:2x 2x 2x 113
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 5x 17 = 2720
Therefore, the value for common factors is 2720.
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 = 32832982041600/(1x2720)
LCM = 32832982041600/2720
LCM = 12070949280
Thus, we can understand that the LCM of 442,901,160,570,904 is 12070949280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 442, 901, 160, 570, 904?
Answer: LCM of 442, 901, 160, 570, 904 is 12070949280.
2. How to calculate the LCM of 442, 901, 160, 570, 904?
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 442, 901, 160, 570, 904.
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}.