LCM of 381, 782, 297, 442, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 381, 782, 297, 442, 416 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 381, 782, 297, 442, 416. So, keep reading to learn more.
Given numbers are 381,782,297,442,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,782,297,442,416 is 6135221664.
Find LCM of 381,782,297,442,416 with Prime Factorization
| 2 | 381, 782, 297, 442, 416 |
| 3 | 381, 391, 297, 221, 208 |
| 13 | 127, 391, 99, 221, 208 |
| 17 | 127, 391, 99, 17, 16 |
| 127, 23, 99, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 127 x 23 x 99 x 1 x 16 = 6135221664
Therefore, the lowest common multiple of 381,782,297,442,416 is 6135221664.
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.
381 x 782 x 297 x 442 x 416 = 16270607852928
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.
381 : 1, 3, 127, 381
782 : 1, 2, 17, 23, 34, 46, 391, 782
297 : 1, 3, 9, 11, 27, 33, 99, 297
442 : 1, 2, 13, 17, 26, 34, 221, 442
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,782,297,442,416, is 1.
Now, the common factors can be found like this.
381:3x 127
782:2x 17x 23
297:3x 3x 3x 11
442:2x 13x 17
416:2x 2x 2x 2x 2x 13
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 3x 13x 17 = 2652
Therefore, the value for common factors is 2652.
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 = 16270607852928/(1x2652)
LCM = 16270607852928/2652
LCM = 6135221664
Thus, we can understand that the LCM of 381,782,297,442,416 is 6135221664.
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FAQs on LCM of 381, 782, 297, 442, 416
1. What is the LCM of 381, 782, 297, 442, 416?
Answer: LCM of 381, 782, 297, 442, 416 is 6135221664.
2. How to calculate the LCM of 381, 782, 297, 442, 416?
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 381, 782, 297, 442, 416.
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}.