LCM of 405, 742, 585, 515, 103
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 742, 585, 515, 103 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, 742, 585, 515, 103. So, keep reading to learn more.
Given numbers are 405,742,585,515,103
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,742,585,515,103 is 402382890.
Find LCM of 405,742,585,515,103 with Prime Factorization
| 3 | 405, 742, 585, 515, 103 |
| 3 | 135, 742, 195, 515, 103 |
| 5 | 45, 742, 65, 515, 103 |
| 103 | 9, 742, 13, 103, 103 |
| 9, 742, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 103 x 9 x 742 x 13 x 1 x 1 = 402382890
Therefore, the lowest common multiple of 405,742,585,515,103 is 402382890.
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 742 x 585 x 515 x 103 = 9325223475750
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
742 : 1, 2, 7, 14, 53, 106, 371, 742
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
515 : 1, 5, 103, 515
103 : 1, 103
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,742,585,515,103, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
742:2x 7x 53
585:3x 3x 5x 13
515:5x 103
103:103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 103 = 23175
Therefore, the value for common factors is 23175.
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 = 9325223475750/(1x23175)
LCM = 9325223475750/23175
LCM = 402382890
Thus, we can understand that the LCM of 405,742,585,515,103 is 402382890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 405, 742, 585, 515, 103
1. What is the LCM of 405, 742, 585, 515, 103?
Answer: LCM of 405, 742, 585, 515, 103 is 402382890.
2. How to calculate the LCM of 405, 742, 585, 515, 103?
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, 742, 585, 515, 103.
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}.