LCM of 515, 485, 360, 585, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 485, 360, 585, 120 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 515, 485, 360, 585, 120. So, keep reading to learn more.
Given numbers are 515,485,360,585,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,485,360,585,120 is 46757880.
Find LCM of 515,485,360,585,120 with Prime Factorization
| 2 | 515, 485, 360, 585, 120 |
| 2 | 515, 485, 180, 585, 60 |
| 2 | 515, 485, 90, 585, 30 |
| 3 | 515, 485, 45, 585, 15 |
| 3 | 515, 485, 5, 195, 15 |
| 5 | 515, 485, 5, 65, 5 |
| 103, 97, 1, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 103 x 97 x 1 x 13 x 1 = 46757880
Therefore, the lowest common multiple of 515,485,360,585,120 is 46757880.
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.
515 x 485 x 360 x 585 x 120 = 6312313800000
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.
515 : 1, 5, 103, 515
485 : 1, 5, 97, 485
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,485,360,585,120, is 5.
Now, the common factors can be found like this.
515:5x 103
485:5x 97
360:2x 2x 2x 3x 3x 5
585:3x 3x 5x 13
120:2x 2x 2x 3x 5
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 3x 3x 3x 5x 5x 5 = 27000
Therefore, the value for common factors is 27000.
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 = 6312313800000/(5x27000)
LCM = 6312313800000/135000
LCM = 46757880
Thus, we can understand that the LCM of 515,485,360,585,120 is 46757880.
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FAQs on LCM of 515, 485, 360, 585, 120
1. What is the LCM of 515, 485, 360, 585, 120?
Answer: LCM of 515, 485, 360, 585, 120 is 46757880.
2. How to calculate the LCM of 515, 485, 360, 585, 120?
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 515, 485, 360, 585, 120.
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}.