Find the LCM of 408, 899, 961, 697 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 408, 899, 961, 697. So, keep reading to learn more.
Given numbers are 408,899,961,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,899,961,697 is 466192632.
Find LCM of 408,899,961,697 with Prime Factorization
17 | 408, 899, 961, 697 |
31 | 24, 899, 961, 41 |
24, 29, 31, 41 |
Multiply the prime numbers at the bottom and the left side.
17 x 31 x 24 x 29 x 31 x 41 = 466192632
Therefore, the lowest common multiple of 408,899,961,697 is 466192632.
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.
408 x 899 x 961 x 697 = 245683517064
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
899 : 1, 29, 31, 899
961 : 1, 31, 961
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,899,961,697, is 1.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
899:29x 31
961:31x 31
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 31 = 527
Therefore, the value for common factors is 527.
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 = 245683517064/(1x527)
LCM = 245683517064/527
LCM = 466192632
Thus, we can understand that the LCM of 408,899,961,697 is 466192632.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 408, 899, 961, 697?
Answer: LCM of 408, 899, 961, 697 is 466192632.
2. How to calculate the LCM of 408, 899, 961, 697?
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 408, 899, 961, 697.
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}.