LCM of 616, 514, 396, 574, 463
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 514, 396, 574, 463 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 616, 514, 396, 574, 463. So, keep reading to learn more.
Given numbers are 616,514,396,574,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,514,396,574,463 is 27047130264.
Find LCM of 616,514,396,574,463 with Prime Factorization
| 2 | 616, 514, 396, 574, 463 |
| 2 | 308, 257, 198, 287, 463 |
| 7 | 154, 257, 99, 287, 463 |
| 11 | 22, 257, 99, 41, 463 |
| 2, 257, 9, 41, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 2 x 257 x 9 x 41 x 463 = 27047130264
Therefore, the lowest common multiple of 616,514,396,574,463 is 27047130264.
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.
616 x 514 x 396 x 574 x 463 = 33322064485248
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
514 : 1, 2, 257, 514
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
574 : 1, 2, 7, 14, 41, 82, 287, 574
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,514,396,574,463, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
514:2x 257
396:2x 2x 3x 3x 11
574:2x 7x 41
463:463
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 7x 11 = 1232
Therefore, the value for common factors is 1232.
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 = 33322064485248/(1x1232)
LCM = 33322064485248/1232
LCM = 27047130264
Thus, we can understand that the LCM of 616,514,396,574,463 is 27047130264.
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FAQs on LCM of 616, 514, 396, 574, 463
1. What is the LCM of 616, 514, 396, 574, 463?
Answer: LCM of 616, 514, 396, 574, 463 is 27047130264.
2. How to calculate the LCM of 616, 514, 396, 574, 463?
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 616, 514, 396, 574, 463.
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}.