LCM of 638, 646, 484, 720, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 646, 484, 720, 285 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 638, 646, 484, 720, 285. So, keep reading to learn more.
Given numbers are 638,646,484,720,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,646,484,720,285 is 816053040.
Find LCM of 638,646,484,720,285 with Prime Factorization
| 2 | 638, 646, 484, 720, 285 |
| 2 | 319, 323, 242, 360, 285 |
| 3 | 319, 323, 121, 180, 285 |
| 5 | 319, 323, 121, 60, 95 |
| 11 | 319, 323, 121, 12, 19 |
| 19 | 29, 323, 11, 12, 19 |
| 29, 17, 11, 12, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 19 x 29 x 17 x 11 x 12 x 1 = 816053040
Therefore, the lowest common multiple of 638,646,484,720,285 is 816053040.
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.
638 x 646 x 484 x 720 x 285 = 40933220486400
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
646 : 1, 2, 17, 19, 34, 38, 323, 646
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,646,484,720,285, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
646:2x 17x 19
484:2x 2x 11x 11
720:2x 2x 2x 2x 3x 3x 5
285:3x 5x 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 2x 2x 2x 3x 5x 11x 19 = 50160
Therefore, the value for common factors is 50160.
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 = 40933220486400/(1x50160)
LCM = 40933220486400/50160
LCM = 816053040
Thus, we can understand that the LCM of 638,646,484,720,285 is 816053040.
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FAQs on LCM of 638, 646, 484, 720, 285
1. What is the LCM of 638, 646, 484, 720, 285?
Answer: LCM of 638, 646, 484, 720, 285 is 816053040.
2. How to calculate the LCM of 638, 646, 484, 720, 285?
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 638, 646, 484, 720, 285.
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}.