LCM of 439, 858, 736, 782, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 439, 858, 736, 782, 308 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 439, 858, 736, 782, 308. So, keep reading to learn more.
Given numbers are 439,858,736,782,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,858,736,782,308 is 16494782304.
Find LCM of 439,858,736,782,308 with Prime Factorization
| 2 | 439, 858, 736, 782, 308 |
| 2 | 439, 429, 368, 391, 154 |
| 11 | 439, 429, 184, 391, 77 |
| 23 | 439, 39, 184, 391, 7 |
| 439, 39, 8, 17, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 23 x 439 x 39 x 8 x 17 x 7 = 16494782304
Therefore, the lowest common multiple of 439,858,736,782,308 is 16494782304.
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.
439 x 858 x 736 x 782 x 308 = 66770878766592
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.
439 : 1, 439
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
782 : 1, 2, 17, 23, 34, 46, 391, 782
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,858,736,782,308, is 1.
Now, the common factors can be found like this.
439:439
858:2x 3x 11x 13
736:2x 2x 2x 2x 2x 23
782:2x 17x 23
308:2x 2x 7x 11
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 11x 23 = 4048
Therefore, the value for common factors is 4048.
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 = 66770878766592/(1x4048)
LCM = 66770878766592/4048
LCM = 16494782304
Thus, we can understand that the LCM of 439,858,736,782,308 is 16494782304.
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FAQs on LCM of 439, 858, 736, 782, 308
1. What is the LCM of 439, 858, 736, 782, 308?
Answer: LCM of 439, 858, 736, 782, 308 is 16494782304.
2. How to calculate the LCM of 439, 858, 736, 782, 308?
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 439, 858, 736, 782, 308.
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}.