Find the LCM of 451, 136, 405, 697, 885 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 451, 136, 405, 697, 885. So, keep reading to learn more.
Given numbers are 451,136,405,697,885
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,136,405,697,885 is 1465623720.
Find LCM of 451,136,405,697,885 with Prime Factorization
3 | 451, 136, 405, 697, 885 |
5 | 451, 136, 135, 697, 295 |
17 | 451, 136, 27, 697, 59 |
41 | 451, 8, 27, 41, 59 |
11, 8, 27, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 41 x 11 x 8 x 27 x 1 x 59 = 1465623720
Therefore, the lowest common multiple of 451,136,405,697,885 is 1465623720.
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.
451 x 136 x 405 x 697 x 885 = 15323095992600
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.
451 : 1, 11, 41, 451
136 : 1, 2, 4, 8, 17, 34, 68, 136
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
697 : 1, 17, 41, 697
885 : 1, 3, 5, 15, 59, 177, 295, 885
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,136,405,697,885, is 1.
Now, the common factors can be found like this.
451:11x 41
136:2x 2x 2x 17
405:3x 3x 3x 3x 5
697:17x 41
885:3x 5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 17x 41 = 10455
Therefore, the value for common factors is 10455.
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 = 15323095992600/(1x10455)
LCM = 15323095992600/10455
LCM = 1465623720
Thus, we can understand that the LCM of 451,136,405,697,885 is 1465623720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 451, 136, 405, 697, 885?
Answer: LCM of 451, 136, 405, 697, 885 is 1465623720.
2. How to calculate the LCM of 451, 136, 405, 697, 885?
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 451, 136, 405, 697, 885.
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}.