LCM of 437, 486, 489, 180, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 486, 489, 180, 399 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 437, 486, 489, 180, 399. So, keep reading to learn more.
Given numbers are 437,486,489,180,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,486,489,180,399 is 2423278620.
Find LCM of 437,486,489,180,399 with Prime Factorization
| 2 | 437, 486, 489, 180, 399 |
| 3 | 437, 243, 489, 90, 399 |
| 3 | 437, 81, 163, 30, 133 |
| 19 | 437, 27, 163, 10, 133 |
| 23, 27, 163, 10, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 23 x 27 x 163 x 10 x 7 = 2423278620
Therefore, the lowest common multiple of 437,486,489,180,399 is 2423278620.
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.
437 x 486 x 489 x 180 x 399 = 7458851592360
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.
437 : 1, 19, 23, 437
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
489 : 1, 3, 163, 489
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,486,489,180,399, is 1.
Now, the common factors can be found like this.
437:19x 23
486:2x 3x 3x 3x 3x 3
489:3x 163
180:2x 2x 3x 3x 5
399:3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 19 = 3078
Therefore, the value for common factors is 3078.
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 = 7458851592360/(1x3078)
LCM = 7458851592360/3078
LCM = 2423278620
Thus, we can understand that the LCM of 437,486,489,180,399 is 2423278620.
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FAQs on LCM of 437, 486, 489, 180, 399
1. What is the LCM of 437, 486, 489, 180, 399?
Answer: LCM of 437, 486, 489, 180, 399 is 2423278620.
2. How to calculate the LCM of 437, 486, 489, 180, 399?
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 437, 486, 489, 180, 399.
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}.