LCM of 396, 638, 480, 906, 344
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 638, 480, 906, 344 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, 638, 480, 906, 344. So, keep reading to learn more.
Given numbers are 396,638,480,906,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,638,480,906,344 is 2982624480.
Find LCM of 396,638,480,906,344 with Prime Factorization
| 2 | 396, 638, 480, 906, 344 |
| 2 | 198, 319, 240, 453, 172 |
| 2 | 99, 319, 120, 453, 86 |
| 3 | 99, 319, 60, 453, 43 |
| 11 | 33, 319, 20, 151, 43 |
| 3, 29, 20, 151, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 3 x 29 x 20 x 151 x 43 = 2982624480
Therefore, the lowest common multiple of 396,638,480,906,344 is 2982624480.
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 638 x 480 x 906 x 344 = 37795817410560
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
638 : 1, 2, 11, 22, 29, 58, 319, 638
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
906 : 1, 2, 3, 6, 151, 302, 453, 906
344 : 1, 2, 4, 8, 43, 86, 172, 344
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,638,480,906,344, is 2.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
638:2x 11x 29
480:2x 2x 2x 2x 2x 3x 5
906:2x 3x 151
344:2x 2x 2x 43
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 11 = 6336
Therefore, the value for common factors is 6336.
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 = 37795817410560/(2x6336)
LCM = 37795817410560/12672
LCM = 2982624480
Thus, we can understand that the LCM of 396,638,480,906,344 is 2982624480.
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FAQs on LCM of 396, 638, 480, 906, 344
1. What is the LCM of 396, 638, 480, 906, 344?
Answer: LCM of 396, 638, 480, 906, 344 is 2982624480.
2. How to calculate the LCM of 396, 638, 480, 906, 344?
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, 638, 480, 906, 344.
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}.