Find the LCM of 469, 748, 574, 272 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 469, 748, 574, 272. So, keep reading to learn more.
Given numbers are 469,748,574,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,748,574,272 is 57533168.
Find LCM of 469,748,574,272 with Prime Factorization
2 | 469, 748, 574, 272 |
2 | 469, 374, 287, 136 |
7 | 469, 187, 287, 68 |
17 | 67, 187, 41, 68 |
67, 11, 41, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 17 x 67 x 11 x 41 x 4 = 57533168
Therefore, the lowest common multiple of 469,748,574,272 is 57533168.
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.
469 x 748 x 574 x 272 = 54771575936
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.
469 : 1, 7, 67, 469
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
574 : 1, 2, 7, 14, 41, 82, 287, 574
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,748,574,272, is 1.
Now, the common factors can be found like this.
469:7x 67
748:2x 2x 11x 17
574:2x 7x 41
272:2x 2x 2x 2x 17
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 7x 17 = 952
Therefore, the value for common factors is 952.
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 = 54771575936/(1x952)
LCM = 54771575936/952
LCM = 57533168
Thus, we can understand that the LCM of 469,748,574,272 is 57533168.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 469, 748, 574, 272?
Answer: LCM of 469, 748, 574, 272 is 57533168.
2. How to calculate the LCM of 469, 748, 574, 272?
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 469, 748, 574, 272.
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}.