LCM of 581, 428, 288, 417, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 581, 428, 288, 417, 735 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 581, 428, 288, 417, 735. So, keep reading to learn more.
Given numbers are 581,428,288,417,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 581,428,288,417,735 is 87103427040.
Find LCM of 581,428,288,417,735 with Prime Factorization
| 2 | 581, 428, 288, 417, 735 |
| 2 | 581, 214, 144, 417, 735 |
| 3 | 581, 107, 72, 417, 735 |
| 7 | 581, 107, 24, 139, 245 |
| 83, 107, 24, 139, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 83 x 107 x 24 x 139 x 35 = 87103427040
Therefore, the lowest common multiple of 581,428,288,417,735 is 87103427040.
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.
581 x 428 x 288 x 417 x 735 = 21950063614080
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.
581 : 1, 7, 83, 581
428 : 1, 2, 4, 107, 214, 428
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
417 : 1, 3, 139, 417
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 581,428,288,417,735, is 1.
Now, the common factors can be found like this.
581:7x 83
428:2x 2x 107
288:2x 2x 2x 2x 2x 3x 3
417:3x 139
735:3x 5x 7x 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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 21950063614080/(1x252)
LCM = 21950063614080/252
LCM = 87103427040
Thus, we can understand that the LCM of 581,428,288,417,735 is 87103427040.
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FAQs on LCM of 581, 428, 288, 417, 735
1. What is the LCM of 581, 428, 288, 417, 735?
Answer: LCM of 581, 428, 288, 417, 735 is 87103427040.
2. How to calculate the LCM of 581, 428, 288, 417, 735?
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 581, 428, 288, 417, 735.
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}.