LCM of 405, 525, 119, 884, 207
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 525, 119, 884, 207 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, 525, 119, 884, 207. So, keep reading to learn more.
Given numbers are 405,525,119,884,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,525,119,884,207 is 288206100.
Find LCM of 405,525,119,884,207 with Prime Factorization
| 3 | 405, 525, 119, 884, 207 |
| 3 | 135, 175, 119, 884, 69 |
| 5 | 45, 175, 119, 884, 23 |
| 7 | 9, 35, 119, 884, 23 |
| 17 | 9, 5, 17, 884, 23 |
| 9, 5, 1, 52, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 17 x 9 x 5 x 1 x 52 x 23 = 288206100
Therefore, the lowest common multiple of 405,525,119,884,207 is 288206100.
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 525 x 119 x 884 x 207 = 4630030996500
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
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
119 : 1, 7, 17, 119
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
207 : 1, 3, 9, 23, 69, 207
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,525,119,884,207, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
525:3x 5x 5x 7
119:7x 17
884:2x 2x 13x 17
207:3x 3x 23
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 3x 5x 7x 17 = 16065
Therefore, the value for common factors is 16065.
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 = 4630030996500/(1x16065)
LCM = 4630030996500/16065
LCM = 288206100
Thus, we can understand that the LCM of 405,525,119,884,207 is 288206100.
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FAQs on LCM of 405, 525, 119, 884, 207
1. What is the LCM of 405, 525, 119, 884, 207?
Answer: LCM of 405, 525, 119, 884, 207 is 288206100.
2. How to calculate the LCM of 405, 525, 119, 884, 207?
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, 525, 119, 884, 207.
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}.