LCM of 396, 416, 208, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 416, 208, 506 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 396, 416, 208, 506. So, keep reading to learn more.
Given numbers are 396,416,208,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,416,208,506 is 947232.
Find LCM of 396,416,208,506 with Prime Factorization
| 2 | 396, 416, 208, 506 |
| 2 | 198, 208, 104, 253 |
| 2 | 99, 52, 104, 253 |
| 2 | 99, 26, 52, 253 |
| 11 | 99, 13, 26, 253 |
| 13 | 9, 13, 26, 23 |
| 9, 1, 2, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 13 x 9 x 1 x 2 x 23 = 947232
Therefore, the lowest common multiple of 396,416,208,506 is 947232.
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.
396 x 416 x 208 x 506 = 17338134528
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
506 : 1, 2, 11, 22, 23, 46, 253, 506
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,416,208,506, is 2.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
416:2x 2x 2x 2x 2x 13
208:2x 2x 2x 2x 13
506:2x 11x 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 2x 11x 13 = 9152
Therefore, the value for common factors is 9152.
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 = 17338134528/(2x9152)
LCM = 17338134528/18304
LCM = 947232
Thus, we can understand that the LCM of 396,416,208,506 is 947232.
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FAQs on LCM of 396, 416, 208, 506
1. What is the LCM of 396, 416, 208, 506?
Answer: LCM of 396, 416, 208, 506 is 947232.
2. How to calculate the LCM of 396, 416, 208, 506?
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 396, 416, 208, 506.
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}.