LCM of 418, 456, 378, 498, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 456, 378, 498, 447 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 418, 456, 378, 498, 447. So, keep reading to learn more.
Given numbers are 418,456,378,498,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,456,378,498,447 is 3908070936.
Find LCM of 418,456,378,498,447 with Prime Factorization
| 2 | 418, 456, 378, 498, 447 |
| 3 | 209, 228, 189, 249, 447 |
| 19 | 209, 76, 63, 83, 149 |
| 11, 4, 63, 83, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 11 x 4 x 63 x 83 x 149 = 3908070936
Therefore, the lowest common multiple of 418,456,378,498,447 is 3908070936.
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.
418 x 456 x 378 x 498 x 447 = 16038723121344
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
498 : 1, 2, 3, 6, 83, 166, 249, 498
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,456,378,498,447, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
456:2x 2x 2x 3x 19
378:2x 3x 3x 3x 7
498:2x 3x 83
447:3x 149
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 3x 3x 3x 19 = 4104
Therefore, the value for common factors is 4104.
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 = 16038723121344/(1x4104)
LCM = 16038723121344/4104
LCM = 3908070936
Thus, we can understand that the LCM of 418,456,378,498,447 is 3908070936.
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FAQs on LCM of 418, 456, 378, 498, 447
1. What is the LCM of 418, 456, 378, 498, 447?
Answer: LCM of 418, 456, 378, 498, 447 is 3908070936.
2. How to calculate the LCM of 418, 456, 378, 498, 447?
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 418, 456, 378, 498, 447.
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}.