Find the LCM of 592, 598, 333, 483 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, 598, 333, 483. So, keep reading to learn more.
Given numbers are 592,598,333,483
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,598,333,483 is 11151504.
Find LCM of 592,598,333,483 with Prime Factorization
2 | 592, 598, 333, 483 |
3 | 296, 299, 333, 483 |
23 | 296, 299, 111, 161 |
37 | 296, 13, 111, 7 |
8, 13, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 37 x 8 x 13 x 3 x 7 = 11151504
Therefore, the lowest common multiple of 592,598,333,483 is 11151504.
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 598 x 333 x 483 = 56939579424
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
598 : 1, 2, 13, 23, 26, 46, 299, 598
333 : 1, 3, 9, 37, 111, 333
483 : 1, 3, 7, 21, 23, 69, 161, 483
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,598,333,483, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
598:2x 13x 23
333:3x 3x 37
483:3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 23x 37 = 5106
Therefore, the value for common factors is 5106.
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 = 56939579424/(1x5106)
LCM = 56939579424/5106
LCM = 11151504
Thus, we can understand that the LCM of 592,598,333,483 is 11151504.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 592, 598, 333, 483?
Answer: LCM of 592, 598, 333, 483 is 11151504.
2. How to calculate the LCM of 592, 598, 333, 483?
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, 598, 333, 483.
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}.