LCM of 127, 468, 598, 414, 463
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 127, 468, 598, 414, 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 127, 468, 598, 414, 463. So, keep reading to learn more.
Given numbers are 127,468,598,414,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 127,468,598,414,463 is 632933964.
Find LCM of 127,468,598,414,463 with Prime Factorization
| 2 | 127, 468, 598, 414, 463 |
| 3 | 127, 234, 299, 207, 463 |
| 3 | 127, 78, 299, 69, 463 |
| 13 | 127, 26, 299, 23, 463 |
| 23 | 127, 2, 23, 23, 463 |
| 127, 2, 1, 1, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 23 x 127 x 2 x 1 x 1 x 463 = 632933964
Therefore, the lowest common multiple of 127,468,598,414,463 is 632933964.
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.
127 x 468 x 598 x 414 x 463 = 6812901188496
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.
127 : 1, 127
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
598 : 1, 2, 13, 23, 26, 46, 299, 598
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 127,468,598,414,463, is 1.
Now, the common factors can be found like this.
127:127
468:2x 2x 3x 3x 13
598:2x 13x 23
414:2x 3x 3x 23
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 3x 3x 13x 23 = 10764
Therefore, the value for common factors is 10764.
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 = 6812901188496/(1x10764)
LCM = 6812901188496/10764
LCM = 632933964
Thus, we can understand that the LCM of 127,468,598,414,463 is 632933964.
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FAQs on LCM of 127, 468, 598, 414, 463
1. What is the LCM of 127, 468, 598, 414, 463?
Answer: LCM of 127, 468, 598, 414, 463 is 632933964.
2. How to calculate the LCM of 127, 468, 598, 414, 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 127, 468, 598, 414, 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}.