LCM of 405, 533, 638, 844, 160
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 533, 638, 844, 160 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, 533, 638, 844, 160. So, keep reading to learn more.
Given numbers are 405,533,638,844,160
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,533,638,844,160 is 464949033120.
Find LCM of 405,533,638,844,160 with Prime Factorization
| 2 | 405, 533, 638, 844, 160 |
| 2 | 405, 533, 319, 422, 80 |
| 5 | 405, 533, 319, 211, 40 |
| 81, 533, 319, 211, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 81 x 533 x 319 x 211 x 8 = 464949033120
Therefore, the lowest common multiple of 405,533,638,844,160 is 464949033120.
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 533 x 638 x 844 x 160 = 18597961324800
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
533 : 1, 13, 41, 533
638 : 1, 2, 11, 22, 29, 58, 319, 638
844 : 1, 2, 4, 211, 422, 844
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,533,638,844,160, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
533:13x 41
638:2x 11x 29
844:2x 2x 211
160:2x 2x 2x 2x 2x 5
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 5 = 40
Therefore, the value for common factors is 40.
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 = 18597961324800/(1x40)
LCM = 18597961324800/40
LCM = 464949033120
Thus, we can understand that the LCM of 405,533,638,844,160 is 464949033120.
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FAQs on LCM of 405, 533, 638, 844, 160
1. What is the LCM of 405, 533, 638, 844, 160?
Answer: LCM of 405, 533, 638, 844, 160 is 464949033120.
2. How to calculate the LCM of 405, 533, 638, 844, 160?
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, 533, 638, 844, 160.
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}.