LCM of 660, 459, 493, 105, 570
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 660, 459, 493, 105, 570 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 660, 459, 493, 105, 570. So, keep reading to learn more.
Given numbers are 660,459,493,105,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,459,493,105,570 is 389479860.
Find LCM of 660,459,493,105,570 with Prime Factorization
| 2 | 660, 459, 493, 105, 570 |
| 3 | 330, 459, 493, 105, 285 |
| 5 | 110, 153, 493, 35, 95 |
| 17 | 22, 153, 493, 7, 19 |
| 22, 9, 29, 7, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 22 x 9 x 29 x 7 x 19 = 389479860
Therefore, the lowest common multiple of 660,459,493,105,570 is 389479860.
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.
660 x 459 x 493 x 105 x 570 = 8938562787000
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.
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
459 : 1, 3, 9, 17, 27, 51, 153, 459
493 : 1, 17, 29, 493
105 : 1, 3, 5, 7, 15, 21, 35, 105
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,459,493,105,570, is 1.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
459:3x 3x 3x 17
493:17x 29
105:3x 5x 7
570:2x 3x 5x 19
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 5x 5x 17 = 22950
Therefore, the value for common factors is 22950.
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 = 8938562787000/(1x22950)
LCM = 8938562787000/22950
LCM = 389479860
Thus, we can understand that the LCM of 660,459,493,105,570 is 389479860.
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FAQs on LCM of 660, 459, 493, 105, 570
1. What is the LCM of 660, 459, 493, 105, 570?
Answer: LCM of 660, 459, 493, 105, 570 is 389479860.
2. How to calculate the LCM of 660, 459, 493, 105, 570?
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 660, 459, 493, 105, 570.
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}.