LCM of 143, 360, 515, 464, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 143, 360, 515, 464, 990 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 143, 360, 515, 464, 990. So, keep reading to learn more.
Given numbers are 143,360,515,464,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 143,360,515,464,990 is 307541520.
Find LCM of 143,360,515,464,990 with Prime Factorization
| 2 | 143, 360, 515, 464, 990 |
| 2 | 143, 180, 515, 232, 495 |
| 2 | 143, 90, 515, 116, 495 |
| 3 | 143, 45, 515, 58, 495 |
| 3 | 143, 15, 515, 58, 165 |
| 5 | 143, 5, 515, 58, 55 |
| 11 | 143, 1, 103, 58, 11 |
| 13, 1, 103, 58, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 11 x 13 x 1 x 103 x 58 x 1 = 307541520
Therefore, the lowest common multiple of 143,360,515,464,990 is 307541520.
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.
143 x 360 x 515 x 464 x 990 = 12178644192000
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.
143 : 1, 11, 13, 143
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
515 : 1, 5, 103, 515
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,360,515,464,990, is 1.
Now, the common factors can be found like this.
143:11x 13
360:2x 2x 2x 3x 3x 5
515:5x 103
464:2x 2x 2x 2x 29
990:2x 3x 3x 5x 11
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 5x 11 = 39600
Therefore, the value for common factors is 39600.
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 = 12178644192000/(1x39600)
LCM = 12178644192000/39600
LCM = 307541520
Thus, we can understand that the LCM of 143,360,515,464,990 is 307541520.
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FAQs on LCM of 143, 360, 515, 464, 990
1. What is the LCM of 143, 360, 515, 464, 990?
Answer: LCM of 143, 360, 515, 464, 990 is 307541520.
2. How to calculate the LCM of 143, 360, 515, 464, 990?
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 143, 360, 515, 464, 990.
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}.