LCM of 495, 390, 305, 585, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 495, 390, 305, 585, 897 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 495, 390, 305, 585, 897. So, keep reading to learn more.
Given numbers are 495,390,305,585,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,390,305,585,897 is 18056610.
Find LCM of 495,390,305,585,897 with Prime Factorization
| 3 | 495, 390, 305, 585, 897 |
| 3 | 165, 130, 305, 195, 299 |
| 5 | 55, 130, 305, 65, 299 |
| 13 | 11, 26, 61, 13, 299 |
| 11, 2, 61, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 13 x 11 x 2 x 61 x 1 x 23 = 18056610
Therefore, the lowest common multiple of 495,390,305,585,897 is 18056610.
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.
495 x 390 x 305 x 585 x 897 = 30897116786250
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.
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
305 : 1, 5, 61, 305
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,390,305,585,897, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
390:2x 3x 5x 13
305:5x 61
585:3x 3x 5x 13
897:3x 13x 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 3x 5x 5x 5x 13x 13 = 1711125
Therefore, the value for common factors is 1711125.
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 = 30897116786250/(1x1711125)
LCM = 30897116786250/1711125
LCM = 18056610
Thus, we can understand that the LCM of 495,390,305,585,897 is 18056610.
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FAQs on LCM of 495, 390, 305, 585, 897
1. What is the LCM of 495, 390, 305, 585, 897?
Answer: LCM of 495, 390, 305, 585, 897 is 18056610.
2. How to calculate the LCM of 495, 390, 305, 585, 897?
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 495, 390, 305, 585, 897.
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}.