LCM of 592, 555, 560, 417, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 592, 555, 560, 417, 567 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 592, 555, 560, 417, 567. So, keep reading to learn more.
Given numbers are 592,555,560,417,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 592,555,560,417,567 is 233286480.
Find LCM of 592,555,560,417,567 with Prime Factorization
| 2 | 592, 555, 560, 417, 567 |
| 2 | 296, 555, 280, 417, 567 |
| 2 | 148, 555, 140, 417, 567 |
| 2 | 74, 555, 70, 417, 567 |
| 3 | 37, 555, 35, 417, 567 |
| 5 | 37, 185, 35, 139, 189 |
| 7 | 37, 37, 7, 139, 189 |
| 37 | 37, 37, 1, 139, 27 |
| 1, 1, 1, 139, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 37 x 1 x 1 x 1 x 139 x 27 = 233286480
Therefore, the lowest common multiple of 592,555,560,417,567 is 233286480.
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.
592 x 555 x 560 x 417 x 567 = 43503262790400
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.
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
555 : 1, 3, 5, 15, 37, 111, 185, 555
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
417 : 1, 3, 139, 417
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,555,560,417,567, is 1.
Now, the common factors can be found like this.
592:2x 2x 2x 2x 37
555:3x 5x 37
560:2x 2x 2x 2x 5x 7
417:3x 139
567:3x 3x 3x 3x 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 3x 5x 7x 37 = 186480
Therefore, the value for common factors is 186480.
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 = 43503262790400/(1x186480)
LCM = 43503262790400/186480
LCM = 233286480
Thus, we can understand that the LCM of 592,555,560,417,567 is 233286480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 592, 555, 560, 417, 567
1. What is the LCM of 592, 555, 560, 417, 567?
Answer: LCM of 592, 555, 560, 417, 567 is 233286480.
2. How to calculate the LCM of 592, 555, 560, 417, 567?
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 592, 555, 560, 417, 567.
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}.