LCM of 459, 528, 560, 120, 563
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 528, 560, 120, 563 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 459, 528, 560, 120, 563. So, keep reading to learn more.
Given numbers are 459,528,560,120,563
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,528,560,120,563 is 1591848720.
Find LCM of 459,528,560,120,563 with Prime Factorization
| 2 | 459, 528, 560, 120, 563 |
| 2 | 459, 264, 280, 60, 563 |
| 2 | 459, 132, 140, 30, 563 |
| 2 | 459, 66, 70, 15, 563 |
| 3 | 459, 33, 35, 15, 563 |
| 5 | 153, 11, 35, 5, 563 |
| 153, 11, 7, 1, 563 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 153 x 11 x 7 x 1 x 563 = 1591848720
Therefore, the lowest common multiple of 459,528,560,120,563 is 1591848720.
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.
459 x 528 x 560 x 120 x 563 = 9169048627200
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
563 : 1, 563
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,528,560,120,563, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
528:2x 2x 2x 2x 3x 11
560:2x 2x 2x 2x 5x 7
120:2x 2x 2x 3x 5
563:563
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 2x 2x 2x 3x 3x 5 = 5760
Therefore, the value for common factors is 5760.
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 = 9169048627200/(1x5760)
LCM = 9169048627200/5760
LCM = 1591848720
Thus, we can understand that the LCM of 459,528,560,120,563 is 1591848720.
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FAQs on LCM of 459, 528, 560, 120, 563
1. What is the LCM of 459, 528, 560, 120, 563?
Answer: LCM of 459, 528, 560, 120, 563 is 1591848720.
2. How to calculate the LCM of 459, 528, 560, 120, 563?
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 459, 528, 560, 120, 563.
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}.