LCM of 513, 352, 120, 648, 687
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 352, 120, 648, 687 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 513, 352, 120, 648, 687. So, keep reading to learn more.
Given numbers are 513,352,120,648,687
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,352,120,648,687 is 620278560.
Find LCM of 513,352,120,648,687 with Prime Factorization
| 2 | 513, 352, 120, 648, 687 |
| 2 | 513, 176, 60, 324, 687 |
| 2 | 513, 88, 30, 162, 687 |
| 3 | 513, 44, 15, 81, 687 |
| 3 | 171, 44, 5, 27, 229 |
| 3 | 57, 44, 5, 9, 229 |
| 19, 44, 5, 3, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 19 x 44 x 5 x 3 x 229 = 620278560
Therefore, the lowest common multiple of 513,352,120,648,687 is 620278560.
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.
513 x 352 x 120 x 648 x 687 = 9646572165120
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
687 : 1, 3, 229, 687
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,352,120,648,687, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
352:2x 2x 2x 2x 2x 11
120:2x 2x 2x 3x 5
648:2x 2x 2x 3x 3x 3x 3
687:3x 229
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 3x 3x 3x 3 = 15552
Therefore, the value for common factors is 15552.
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 = 9646572165120/(1x15552)
LCM = 9646572165120/15552
LCM = 620278560
Thus, we can understand that the LCM of 513,352,120,648,687 is 620278560.
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FAQs on LCM of 513, 352, 120, 648, 687
1. What is the LCM of 513, 352, 120, 648, 687?
Answer: LCM of 513, 352, 120, 648, 687 is 620278560.
2. How to calculate the LCM of 513, 352, 120, 648, 687?
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 513, 352, 120, 648, 687.
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}.