LCM of 598, 200, 729, 585, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 200, 729, 585, 648 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 598, 200, 729, 585, 648. So, keep reading to learn more.
Given numbers are 598,200,729,585,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,200,729,585,648 is 43594200.
Find LCM of 598,200,729,585,648 with Prime Factorization
| 2 | 598, 200, 729, 585, 648 |
| 2 | 299, 100, 729, 585, 324 |
| 2 | 299, 50, 729, 585, 162 |
| 3 | 299, 25, 729, 585, 81 |
| 3 | 299, 25, 243, 195, 27 |
| 3 | 299, 25, 81, 65, 9 |
| 3 | 299, 25, 27, 65, 3 |
| 5 | 299, 25, 9, 65, 1 |
| 13 | 299, 5, 9, 13, 1 |
| 23, 5, 9, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 13 x 23 x 5 x 9 x 1 x 1 = 43594200
Therefore, the lowest common multiple of 598,200,729,585,648 is 43594200.
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.
598 x 200 x 729 x 585 x 648 = 33051378672000
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
729 : 1, 3, 9, 27, 81, 243, 729
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,200,729,585,648, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
200:2x 2x 2x 5x 5
729:3x 3x 3x 3x 3x 3
585:3x 3x 5x 13
648:2x 2x 2x 3x 3x 3x 3
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 3x 3x 3x 3x 3x 3x 5x 13 = 758160
Therefore, the value for common factors is 758160.
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 = 33051378672000/(1x758160)
LCM = 33051378672000/758160
LCM = 43594200
Thus, we can understand that the LCM of 598,200,729,585,648 is 43594200.
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FAQs on LCM of 598, 200, 729, 585, 648
1. What is the LCM of 598, 200, 729, 585, 648?
Answer: LCM of 598, 200, 729, 585, 648 is 43594200.
2. How to calculate the LCM of 598, 200, 729, 585, 648?
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 598, 200, 729, 585, 648.
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}.