LCM of 587, 216, 486, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 587, 216, 486, 408 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 587, 216, 486, 408. So, keep reading to learn more.
Given numbers are 587,216,486,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 587,216,486,408 is 19399176.
Find LCM of 587,216,486,408 with Prime Factorization
| 2 | 587, 216, 486, 408 |
| 2 | 587, 108, 243, 204 |
| 2 | 587, 54, 243, 102 |
| 3 | 587, 27, 243, 51 |
| 3 | 587, 9, 81, 17 |
| 3 | 587, 3, 27, 17 |
| 587, 1, 9, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 587 x 1 x 9 x 17 = 19399176
Therefore, the lowest common multiple of 587,216,486,408 is 19399176.
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.
587 x 216 x 486 x 408 = 25141332096
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.
587 : 1, 587
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,216,486,408, is 1.
Now, the common factors can be found like this.
587:587
216:2x 2x 2x 3x 3x 3
486:2x 3x 3x 3x 3x 3
408:2x 2x 2x 3x 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 2x 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 25141332096/(1x1296)
LCM = 25141332096/1296
LCM = 19399176
Thus, we can understand that the LCM of 587,216,486,408 is 19399176.
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FAQs on LCM of 587, 216, 486, 408
1. What is the LCM of 587, 216, 486, 408?
Answer: LCM of 587, 216, 486, 408 is 19399176.
2. How to calculate the LCM of 587, 216, 486, 408?
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 587, 216, 486, 408.
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}.