LCM of 405, 756, 226, 717, 145
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 756, 226, 717, 145 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, 756, 226, 717, 145. So, keep reading to learn more.
Given numbers are 405,756,226,717,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,756,226,717,145 is 8881522020.
Find LCM of 405,756,226,717,145 with Prime Factorization
| 2 | 405, 756, 226, 717, 145 |
| 3 | 405, 378, 113, 717, 145 |
| 3 | 135, 126, 113, 239, 145 |
| 3 | 45, 42, 113, 239, 145 |
| 5 | 15, 14, 113, 239, 145 |
| 3, 14, 113, 239, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 3 x 14 x 113 x 239 x 29 = 8881522020
Therefore, the lowest common multiple of 405,756,226,717,145 is 8881522020.
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 756 x 226 x 717 x 145 = 7194032836200
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
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
226 : 1, 2, 113, 226
717 : 1, 3, 239, 717
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,756,226,717,145, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
756:2x 2x 3x 3x 3x 7
226:2x 113
717:3x 239
145:5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 5 = 810
Therefore, the value for common factors is 810.
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 = 7194032836200/(1x810)
LCM = 7194032836200/810
LCM = 8881522020
Thus, we can understand that the LCM of 405,756,226,717,145 is 8881522020.
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FAQs on LCM of 405, 756, 226, 717, 145
1. What is the LCM of 405, 756, 226, 717, 145?
Answer: LCM of 405, 756, 226, 717, 145 is 8881522020.
2. How to calculate the LCM of 405, 756, 226, 717, 145?
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, 756, 226, 717, 145.
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}.