LCM of 217, 477, 840, 495, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 217, 477, 840, 495, 585 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 217, 477, 840, 495, 585. So, keep reading to learn more.
Given numbers are 217,477,840,495,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,477,840,495,585 is 592071480.
Find LCM of 217,477,840,495,585 with Prime Factorization
| 3 | 217, 477, 840, 495, 585 |
| 3 | 217, 159, 280, 165, 195 |
| 5 | 217, 53, 280, 55, 65 |
| 7 | 217, 53, 56, 11, 13 |
| 31, 53, 8, 11, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 31 x 53 x 8 x 11 x 13 = 592071480
Therefore, the lowest common multiple of 217,477,840,495,585 is 592071480.
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.
217 x 477 x 840 x 495 x 585 = 25177839687000
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.
217 : 1, 7, 31, 217
477 : 1, 3, 9, 53, 159, 477
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,477,840,495,585, is 1.
Now, the common factors can be found like this.
217:7x 31
477:3x 3x 53
840:2x 2x 2x 3x 5x 7
495:3x 3x 5x 11
585:3x 3x 5x 13
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 3x 5x 5x 7 = 42525
Therefore, the value for common factors is 42525.
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 = 25177839687000/(1x42525)
LCM = 25177839687000/42525
LCM = 592071480
Thus, we can understand that the LCM of 217,477,840,495,585 is 592071480.
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FAQs on LCM of 217, 477, 840, 495, 585
1. What is the LCM of 217, 477, 840, 495, 585?
Answer: LCM of 217, 477, 840, 495, 585 is 592071480.
2. How to calculate the LCM of 217, 477, 840, 495, 585?
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 217, 477, 840, 495, 585.
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}.