LCM of 287, 529, 920, 336, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 529, 920, 336, 380 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 287, 529, 920, 336, 380. So, keep reading to learn more.
Given numbers are 287,529,920,336,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,529,920,336,380 is 692312880.
Find LCM of 287,529,920,336,380 with Prime Factorization
| 2 | 287, 529, 920, 336, 380 |
| 2 | 287, 529, 460, 168, 190 |
| 2 | 287, 529, 230, 84, 95 |
| 5 | 287, 529, 115, 42, 95 |
| 7 | 287, 529, 23, 42, 19 |
| 23 | 41, 529, 23, 6, 19 |
| 41, 1, 23, 6, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 23 x 41 x 1 x 23 x 6 x 19 = 692312880
Therefore, the lowest common multiple of 287,529,920,336,380 is 692312880.
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.
287 x 529 x 920 x 336 x 380 = 17833979788800
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.
287 : 1, 7, 41, 287
529 : 1, 23, 529
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,529,920,336,380, is 1.
Now, the common factors can be found like this.
287:7x 41
529:23x 23
920:2x 2x 2x 5x 23
336:2x 2x 2x 2x 3x 7
380:2x 2x 5x 19
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 5x 7x 23 = 25760
Therefore, the value for common factors is 25760.
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 = 17833979788800/(1x25760)
LCM = 17833979788800/25760
LCM = 692312880
Thus, we can understand that the LCM of 287,529,920,336,380 is 692312880.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 287, 529, 920, 336, 380
1. What is the LCM of 287, 529, 920, 336, 380?
Answer: LCM of 287, 529, 920, 336, 380 is 692312880.
2. How to calculate the LCM of 287, 529, 920, 336, 380?
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 287, 529, 920, 336, 380.
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}.