LCM of 405, 849, 630, 294, 808
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 849, 630, 294, 808 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 405, 849, 630, 294, 808. So, keep reading to learn more.
Given numbers are 405,849,630,294,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,849,630,294,808 is 4537837080.
Find LCM of 405,849,630,294,808 with Prime Factorization
| 2 | 405, 849, 630, 294, 808 |
| 3 | 405, 849, 315, 147, 404 |
| 3 | 135, 283, 105, 49, 404 |
| 5 | 45, 283, 35, 49, 404 |
| 7 | 9, 283, 7, 49, 404 |
| 9, 283, 1, 7, 404 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 9 x 283 x 1 x 7 x 404 = 4537837080
Therefore, the lowest common multiple of 405,849,630,294,808 is 4537837080.
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.
405 x 849 x 630 x 294 x 808 = 51459072487200
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
849 : 1, 3, 283, 849
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
808 : 1, 2, 4, 8, 101, 202, 404, 808
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,849,630,294,808, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
849:3x 283
630:2x 3x 3x 5x 7
294:2x 3x 7x 7
808:2x 2x 2x 101
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 3x 3x 3x 5x 7 = 11340
Therefore, the value for common factors is 11340.
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 = 51459072487200/(1x11340)
LCM = 51459072487200/11340
LCM = 4537837080
Thus, we can understand that the LCM of 405,849,630,294,808 is 4537837080.
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FAQs on LCM of 405, 849, 630, 294, 808
1. What is the LCM of 405, 849, 630, 294, 808?
Answer: LCM of 405, 849, 630, 294, 808 is 4537837080.
2. How to calculate the LCM of 405, 849, 630, 294, 808?
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 405, 849, 630, 294, 808.
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}.