LCM of 405, 112, 824, 489, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 112, 824, 489, 648 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, 112, 824, 489, 648. So, keep reading to learn more.
Given numbers are 405,112,824,489,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,112,824,489,648 is 761549040.
Find LCM of 405,112,824,489,648 with Prime Factorization
| 2 | 405, 112, 824, 489, 648 |
| 2 | 405, 56, 412, 489, 324 |
| 2 | 405, 28, 206, 489, 162 |
| 3 | 405, 14, 103, 489, 81 |
| 3 | 135, 14, 103, 163, 27 |
| 3 | 45, 14, 103, 163, 9 |
| 3 | 15, 14, 103, 163, 3 |
| 5, 14, 103, 163, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 14 x 103 x 163 x 1 = 761549040
Therefore, the lowest common multiple of 405,112,824,489,648 is 761549040.
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 112 x 824 x 489 x 648 = 11843610670080
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
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
824 : 1, 2, 4, 8, 103, 206, 412, 824
489 : 1, 3, 163, 489
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,112,824,489,648, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
112:2x 2x 2x 2x 7
824:2x 2x 2x 103
489:3x 163
648:2x 2x 2x 3x 3x 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 2x 3x 3x 3x 3x 3 = 15552
Therefore, the value for common factors is 15552.
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 = 11843610670080/(1x15552)
LCM = 11843610670080/15552
LCM = 761549040
Thus, we can understand that the LCM of 405,112,824,489,648 is 761549040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 405, 112, 824, 489, 648
1. What is the LCM of 405, 112, 824, 489, 648?
Answer: LCM of 405, 112, 824, 489, 648 is 761549040.
2. How to calculate the LCM of 405, 112, 824, 489, 648?
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, 112, 824, 489, 648.
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}.