LCM of 530, 750, 442, 204, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 530, 750, 442, 204, 560 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 530, 750, 442, 204, 560. So, keep reading to learn more.
Given numbers are 530,750,442,204,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 530,750,442,204,560 is 491946000.
Find LCM of 530,750,442,204,560 with Prime Factorization
| 2 | 530, 750, 442, 204, 560 |
| 2 | 265, 375, 221, 102, 280 |
| 3 | 265, 375, 221, 51, 140 |
| 5 | 265, 125, 221, 17, 140 |
| 17 | 53, 25, 221, 17, 28 |
| 53, 25, 13, 1, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 53 x 25 x 13 x 1 x 28 = 491946000
Therefore, the lowest common multiple of 530,750,442,204,560 is 491946000.
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.
530 x 750 x 442 x 204 x 560 = 20071396800000
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.
530 : 1, 2, 5, 10, 53, 106, 265, 530
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
442 : 1, 2, 13, 17, 26, 34, 221, 442
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,750,442,204,560, is 2.
Now, the common factors can be found like this.
530:2x 5x 53
750:2x 3x 5x 5x 5
442:2x 13x 17
204:2x 2x 3x 17
560:2x 2x 2x 2x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 5x 5x 17 = 20400
Therefore, the value for common factors is 20400.
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 = 20071396800000/(2x20400)
LCM = 20071396800000/40800
LCM = 491946000
Thus, we can understand that the LCM of 530,750,442,204,560 is 491946000.
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FAQs on LCM of 530, 750, 442, 204, 560
1. What is the LCM of 530, 750, 442, 204, 560?
Answer: LCM of 530, 750, 442, 204, 560 is 491946000.
2. How to calculate the LCM of 530, 750, 442, 204, 560?
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 530, 750, 442, 204, 560.
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}.