Find the LCM of 606, 470, 228, 493, 728 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 606, 470, 228, 493, 728. So, keep reading to learn more.
Given numbers are 606,470,228,493,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,470,228,493,728 is 485559427080.
Find LCM of 606,470,228,493,728 with Prime Factorization
2 | 606, 470, 228, 493, 728 |
2 | 303, 235, 114, 493, 364 |
3 | 303, 235, 57, 493, 182 |
101, 235, 19, 493, 182 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 101 x 235 x 19 x 493 x 182 = 485559427080
Therefore, the lowest common multiple of 606,470,228,493,728 is 485559427080.
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.
606 x 470 x 228 x 493 x 728 = 23306852499840
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
470 : 1, 2, 5, 10, 47, 94, 235, 470
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
493 : 1, 17, 29, 493
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,470,228,493,728, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
470:2x 5x 47
228:2x 2x 3x 19
493:17x 29
728:2x 2x 2x 7x 13
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 3 = 48
Therefore, the value for common factors is 48.
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 = 23306852499840/(1x48)
LCM = 23306852499840/48
LCM = 485559427080
Thus, we can understand that the LCM of 606,470,228,493,728 is 485559427080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 606, 470, 228, 493, 728?
Answer: LCM of 606, 470, 228, 493, 728 is 485559427080.
2. How to calculate the LCM of 606, 470, 228, 493, 728?
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 606, 470, 228, 493, 728.
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}.