LCM of 585, 180, 804, 600, 172
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 180, 804, 600, 172 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 585, 180, 804, 600, 172. So, keep reading to learn more.
Given numbers are 585,180,804,600,172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,180,804,600,172 is 67415400.
Find LCM of 585,180,804,600,172 with Prime Factorization
| 2 | 585, 180, 804, 600, 172 |
| 2 | 585, 90, 402, 300, 86 |
| 3 | 585, 45, 201, 150, 43 |
| 3 | 195, 15, 67, 50, 43 |
| 5 | 65, 5, 67, 50, 43 |
| 13, 1, 67, 10, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 13 x 1 x 67 x 10 x 43 = 67415400
Therefore, the lowest common multiple of 585,180,804,600,172 is 67415400.
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.
585 x 180 x 804 x 600 x 172 = 8737035840000
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
172 : 1, 2, 4, 43, 86, 172
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,180,804,600,172, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
180:2x 2x 3x 3x 5
804:2x 2x 3x 67
600:2x 2x 2x 3x 5x 5
172:2x 2x 43
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 3x 3x 3x 3x 5x 5 = 129600
Therefore, the value for common factors is 129600.
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 = 8737035840000/(1x129600)
LCM = 8737035840000/129600
LCM = 67415400
Thus, we can understand that the LCM of 585,180,804,600,172 is 67415400.
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FAQs on LCM of 585, 180, 804, 600, 172
1. What is the LCM of 585, 180, 804, 600, 172?
Answer: LCM of 585, 180, 804, 600, 172 is 67415400.
2. How to calculate the LCM of 585, 180, 804, 600, 172?
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 585, 180, 804, 600, 172.
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}.