LCM of 368, 960, 498, 570, 826
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 960, 498, 570, 826 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 368, 960, 498, 570, 826. So, keep reading to learn more.
Given numbers are 368,960,498,570,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,960,498,570,826 is 14380726080.
Find LCM of 368,960,498,570,826 with Prime Factorization
| 2 | 368, 960, 498, 570, 826 |
| 2 | 184, 480, 249, 285, 413 |
| 2 | 92, 240, 249, 285, 413 |
| 2 | 46, 120, 249, 285, 413 |
| 3 | 23, 60, 249, 285, 413 |
| 5 | 23, 20, 83, 95, 413 |
| 23, 4, 83, 19, 413 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 23 x 4 x 83 x 19 x 413 = 14380726080
Therefore, the lowest common multiple of 368,960,498,570,826 is 14380726080.
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.
368 x 960 x 498 x 570 x 826 = 82832982220800
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
498 : 1, 2, 3, 6, 83, 166, 249, 498
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
826 : 1, 2, 7, 14, 59, 118, 413, 826
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,960,498,570,826, is 2.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
960:2x 2x 2x 2x 2x 2x 3x 5
498:2x 3x 83
570:2x 3x 5x 19
826:2x 7x 59
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 5 = 2880
Therefore, the value for common factors is 2880.
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 = 82832982220800/(2x2880)
LCM = 82832982220800/5760
LCM = 14380726080
Thus, we can understand that the LCM of 368,960,498,570,826 is 14380726080.
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FAQs on LCM of 368, 960, 498, 570, 826
1. What is the LCM of 368, 960, 498, 570, 826?
Answer: LCM of 368, 960, 498, 570, 826 is 14380726080.
2. How to calculate the LCM of 368, 960, 498, 570, 826?
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 368, 960, 498, 570, 826.
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}.