LCM of 405, 576, 478, 594, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 576, 478, 594, 704 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, 576, 478, 594, 704. So, keep reading to learn more.
Given numbers are 405,576,478,594,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,576,478,594,704 is 68143680.
Find LCM of 405,576,478,594,704 with Prime Factorization
| 2 | 405, 576, 478, 594, 704 |
| 2 | 405, 288, 239, 297, 352 |
| 2 | 405, 144, 239, 297, 176 |
| 2 | 405, 72, 239, 297, 88 |
| 2 | 405, 36, 239, 297, 44 |
| 2 | 405, 18, 239, 297, 22 |
| 3 | 405, 9, 239, 297, 11 |
| 3 | 135, 3, 239, 99, 11 |
| 3 | 45, 1, 239, 33, 11 |
| 11 | 15, 1, 239, 11, 11 |
| 15, 1, 239, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 15 x 1 x 239 x 1 x 1 = 68143680
Therefore, the lowest common multiple of 405,576,478,594,704 is 68143680.
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 576 x 478 x 594 x 704 = 46629902499840
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
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
478 : 1, 2, 239, 478
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,576,478,594,704, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
576:2x 2x 2x 2x 2x 2x 3x 3
478:2x 239
594:2x 3x 3x 3x 11
704:2x 2x 2x 2x 2x 2x 11
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 2x 2x 3x 3x 3x 3x 3x 11 = 684288
Therefore, the value for common factors is 684288.
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 = 46629902499840/(1x684288)
LCM = 46629902499840/684288
LCM = 68143680
Thus, we can understand that the LCM of 405,576,478,594,704 is 68143680.
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FAQs on LCM of 405, 576, 478, 594, 704
1. What is the LCM of 405, 576, 478, 594, 704?
Answer: LCM of 405, 576, 478, 594, 704 is 68143680.
2. How to calculate the LCM of 405, 576, 478, 594, 704?
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, 576, 478, 594, 704.
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}.