LCM of 429, 405, 431, 901, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 405, 431, 901, 442 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 429, 405, 431, 901, 442. So, keep reading to learn more.
Given numbers are 429,405,431,901,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,405,431,901,442 is 44980379730.
Find LCM of 429,405,431,901,442 with Prime Factorization
| 3 | 429, 405, 431, 901, 442 |
| 13 | 143, 135, 431, 901, 442 |
| 17 | 11, 135, 431, 901, 34 |
| 11, 135, 431, 53, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 17 x 11 x 135 x 431 x 53 x 2 = 44980379730
Therefore, the lowest common multiple of 429,405,431,901,442 is 44980379730.
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.
429 x 405 x 431 x 901 x 442 = 29821991760990
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
431 : 1, 431
901 : 1, 17, 53, 901
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,405,431,901,442, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
405:3x 3x 3x 3x 5
431:431
901:17x 53
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 17 = 663
Therefore, the value for common factors is 663.
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 = 29821991760990/(1x663)
LCM = 29821991760990/663
LCM = 44980379730
Thus, we can understand that the LCM of 429,405,431,901,442 is 44980379730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 429, 405, 431, 901, 442
1. What is the LCM of 429, 405, 431, 901, 442?
Answer: LCM of 429, 405, 431, 901, 442 is 44980379730.
2. How to calculate the LCM of 429, 405, 431, 901, 442?
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 429, 405, 431, 901, 442.
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}.