Find the LCM of 592, 772, 551, 456, 582 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 592, 772, 551, 456, 582. So, keep reading to learn more.
Given numbers are 592,772,551,456,582
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,772,551,456,582 is 18319921296.
Find LCM of 592,772,551,456,582 with Prime Factorization
2 | 592, 772, 551, 456, 582 |
2 | 296, 386, 551, 228, 291 |
2 | 148, 193, 551, 114, 291 |
3 | 74, 193, 551, 57, 291 |
19 | 74, 193, 551, 19, 97 |
74, 193, 29, 1, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 74 x 193 x 29 x 1 x 97 = 18319921296
Therefore, the lowest common multiple of 592,772,551,456,582 is 18319921296.
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.
592 x 772 x 551 x 456 x 582 = 66831072887808
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.
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
772 : 1, 2, 4, 193, 386, 772
551 : 1, 19, 29, 551
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
582 : 1, 2, 3, 6, 97, 194, 291, 582
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,772,551,456,582, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
772:2x 2x 193
551:19x 29
456:2x 2x 2x 3x 19
582:2x 3x 97
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 3x 19 = 3648
Therefore, the value for common factors is 3648.
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 = 66831072887808/(1x3648)
LCM = 66831072887808/3648
LCM = 18319921296
Thus, we can understand that the LCM of 592,772,551,456,582 is 18319921296.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 592, 772, 551, 456, 582?
Answer: LCM of 592, 772, 551, 456, 582 is 18319921296.
2. How to calculate the LCM of 592, 772, 551, 456, 582?
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 592, 772, 551, 456, 582.
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}.