LCM of 782, 828, 287, 693, 215
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 828, 287, 693, 215 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 782, 828, 287, 693, 215. So, keep reading to learn more.
Given numbers are 782,828,287,693,215
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,828,287,693,215 is 9554155380.
Find LCM of 782,828,287,693,215 with Prime Factorization
| 2 | 782, 828, 287, 693, 215 |
| 3 | 391, 414, 287, 693, 215 |
| 3 | 391, 138, 287, 231, 215 |
| 7 | 391, 46, 287, 77, 215 |
| 23 | 391, 46, 41, 11, 215 |
| 17, 2, 41, 11, 215 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 23 x 17 x 2 x 41 x 11 x 215 = 9554155380
Therefore, the lowest common multiple of 782,828,287,693,215 is 9554155380.
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.
782 x 828 x 287 x 693 x 215 = 27687942291240
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
287 : 1, 7, 41, 287
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
215 : 1, 5, 43, 215
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,828,287,693,215, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
828:2x 2x 3x 3x 23
287:7x 41
693:3x 3x 7x 11
215:5x 43
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 3x 7x 23 = 2898
Therefore, the value for common factors is 2898.
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 = 27687942291240/(1x2898)
LCM = 27687942291240/2898
LCM = 9554155380
Thus, we can understand that the LCM of 782,828,287,693,215 is 9554155380.
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FAQs on LCM of 782, 828, 287, 693, 215
1. What is the LCM of 782, 828, 287, 693, 215?
Answer: LCM of 782, 828, 287, 693, 215 is 9554155380.
2. How to calculate the LCM of 782, 828, 287, 693, 215?
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 782, 828, 287, 693, 215.
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}.