LCM of 403, 816, 358, 493, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 403, 816, 358, 493, 288 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 403, 816, 358, 493, 288. So, keep reading to learn more.
Given numbers are 403,816,358,493,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,816,358,493,288 is 10242299808.
Find LCM of 403,816,358,493,288 with Prime Factorization
| 2 | 403, 816, 358, 493, 288 |
| 2 | 403, 408, 179, 493, 144 |
| 2 | 403, 204, 179, 493, 72 |
| 2 | 403, 102, 179, 493, 36 |
| 3 | 403, 51, 179, 493, 18 |
| 17 | 403, 17, 179, 493, 6 |
| 403, 1, 179, 29, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 17 x 403 x 1 x 179 x 29 x 6 = 10242299808
Therefore, the lowest common multiple of 403,816,358,493,288 is 10242299808.
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.
403 x 816 x 358 x 493 x 288 = 16715433286656
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.
403 : 1, 13, 31, 403
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
358 : 1, 2, 179, 358
493 : 1, 17, 29, 493
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,816,358,493,288, is 1.
Now, the common factors can be found like this.
403:13x 31
816:2x 2x 2x 2x 3x 17
358:2x 179
493:17x 29
288:2x 2x 2x 2x 2x 3x 3
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 3x 17 = 1632
Therefore, the value for common factors is 1632.
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 = 16715433286656/(1x1632)
LCM = 16715433286656/1632
LCM = 10242299808
Thus, we can understand that the LCM of 403,816,358,493,288 is 10242299808.
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FAQs on LCM of 403, 816, 358, 493, 288
1. What is the LCM of 403, 816, 358, 493, 288?
Answer: LCM of 403, 816, 358, 493, 288 is 10242299808.
2. How to calculate the LCM of 403, 816, 358, 493, 288?
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 403, 816, 358, 493, 288.
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}.