LCM of 180, 588, 593, 315, 553
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 180, 588, 593, 315, 553 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 180, 588, 593, 315, 553. So, keep reading to learn more.
Given numbers are 180,588,593,315,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,588,593,315,553 is 413190540.
Find LCM of 180,588,593,315,553 with Prime Factorization
| 2 | 180, 588, 593, 315, 553 |
| 2 | 90, 294, 593, 315, 553 |
| 3 | 45, 147, 593, 315, 553 |
| 3 | 15, 49, 593, 105, 553 |
| 5 | 5, 49, 593, 35, 553 |
| 7 | 1, 49, 593, 7, 553 |
| 1, 1, 593, 7, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 1 x 1 x 593 x 7 x 79 = 413190540
Therefore, the lowest common multiple of 180,588,593,315,553 is 413190540.
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.
180 x 588 x 593 x 315 x 553 = 10933021688400
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
593 : 1, 593
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,588,593,315,553, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
588:2x 2x 3x 7x 7
593:593
315:3x 3x 5x 7
553:7x 79
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 3x 5x 7x 7 = 26460
Therefore, the value for common factors is 26460.
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 = 10933021688400/(1x26460)
LCM = 10933021688400/26460
LCM = 413190540
Thus, we can understand that the LCM of 180,588,593,315,553 is 413190540.
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FAQs on LCM of 180, 588, 593, 315, 553
1. What is the LCM of 180, 588, 593, 315, 553?
Answer: LCM of 180, 588, 593, 315, 553 is 413190540.
2. How to calculate the LCM of 180, 588, 593, 315, 553?
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 180, 588, 593, 315, 553.
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}.