LCM of 424, 423, 468, 228, 463
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 424, 423, 468, 228, 463 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 424, 423, 468, 228, 463. So, keep reading to learn more.
Given numbers are 424,423,468,228,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 424,423,468,228,463 is 20510874072.
Find LCM of 424,423,468,228,463 with Prime Factorization
| 2 | 424, 423, 468, 228, 463 |
| 2 | 212, 423, 234, 114, 463 |
| 3 | 106, 423, 117, 57, 463 |
| 3 | 106, 141, 39, 19, 463 |
| 106, 47, 13, 19, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 106 x 47 x 13 x 19 x 463 = 20510874072
Therefore, the lowest common multiple of 424,423,468,228,463 is 20510874072.
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.
424 x 423 x 468 x 228 x 463 = 8860697599104
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.
424 : 1, 2, 4, 8, 53, 106, 212, 424
423 : 1, 3, 9, 47, 141, 423
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,423,468,228,463, is 1.
Now, the common factors can be found like this.
424:2x 2x 2x 53
423:3x 3x 47
468:2x 2x 3x 3x 13
228:2x 2x 3x 19
463:463
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 3 = 432
Therefore, the value for common factors is 432.
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 = 8860697599104/(1x432)
LCM = 8860697599104/432
LCM = 20510874072
Thus, we can understand that the LCM of 424,423,468,228,463 is 20510874072.
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FAQs on LCM of 424, 423, 468, 228, 463
1. What is the LCM of 424, 423, 468, 228, 463?
Answer: LCM of 424, 423, 468, 228, 463 is 20510874072.
2. How to calculate the LCM of 424, 423, 468, 228, 463?
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 424, 423, 468, 228, 463.
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}.