LCM of 469, 418, 369, 410, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 469, 418, 369, 410, 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 469, 418, 369, 410, 285. So, keep reading to learn more.
Given numbers are 469,418,369,410,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,418,369,410,285 is 361697490.
Find LCM of 469,418,369,410,285 with Prime Factorization
| 2 | 469, 418, 369, 410, 285 |
| 3 | 469, 209, 369, 205, 285 |
| 5 | 469, 209, 123, 205, 95 |
| 19 | 469, 209, 123, 41, 19 |
| 41 | 469, 11, 123, 41, 1 |
| 469, 11, 3, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 41 x 469 x 11 x 3 x 1 x 1 = 361697490
Therefore, the lowest common multiple of 469,418,369,410,285 is 361697490.
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.
469 x 418 x 369 x 410 x 285 = 8452870341300
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.
469 : 1, 7, 67, 469
418 : 1, 2, 11, 19, 22, 38, 209, 418
369 : 1, 3, 9, 41, 123, 369
410 : 1, 2, 5, 10, 41, 82, 205, 410
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 469,418,369,410,285, is 1.
Now, the common factors can be found like this.
469:7x 67
418:2x 11x 19
369:3x 3x 41
410:2x 5x 41
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 3x 5x 19x 41 = 23370
Therefore, the value for common factors is 23370.
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 = 8452870341300/(1x23370)
LCM = 8452870341300/23370
LCM = 361697490
Thus, we can understand that the LCM of 469,418,369,410,285 is 361697490.
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FAQs on LCM of 469, 418, 369, 410, 285
1. What is the LCM of 469, 418, 369, 410, 285?
Answer: LCM of 469, 418, 369, 410, 285 is 361697490.
2. How to calculate the LCM of 469, 418, 369, 410, 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 469, 418, 369, 410, 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}.