LCM of 592, 834, 368, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 592, 834, 368, 414 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 592, 834, 368, 414. So, keep reading to learn more.
Given numbers are 592,834,368,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,834,368,414 is 17033616.
Find LCM of 592,834,368,414 with Prime Factorization
| 2 | 592, 834, 368, 414 |
| 2 | 296, 417, 184, 207 |
| 2 | 148, 417, 92, 207 |
| 2 | 74, 417, 46, 207 |
| 3 | 37, 417, 23, 207 |
| 23 | 37, 139, 23, 69 |
| 37, 139, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 23 x 37 x 139 x 1 x 3 = 17033616
Therefore, the lowest common multiple of 592,834,368,414 is 17033616.
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.
592 x 834 x 368 x 414 = 75220448256
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.
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
834 : 1, 2, 3, 6, 139, 278, 417, 834
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,834,368,414, is 2.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
834:2x 3x 139
368:2x 2x 2x 2x 23
414:2x 3x 3x 23
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 3x 23 = 2208
Therefore, the value for common factors is 2208.
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 = 75220448256/(2x2208)
LCM = 75220448256/4416
LCM = 17033616
Thus, we can understand that the LCM of 592,834,368,414 is 17033616.
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FAQs on LCM of 592, 834, 368, 414
1. What is the LCM of 592, 834, 368, 414?
Answer: LCM of 592, 834, 368, 414 is 17033616.
2. How to calculate the LCM of 592, 834, 368, 414?
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 592, 834, 368, 414.
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}.