Find the LCM of 108, 693, 966, 431, 899 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 108, 693, 966, 431, 899. So, keep reading to learn more.
Given numbers are 108,693,966,431,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 108,693,966,431,899 is 74110420692.
Find LCM of 108,693,966,431,899 with Prime Factorization
2 | 108, 693, 966, 431, 899 |
3 | 54, 693, 483, 431, 899 |
3 | 18, 231, 161, 431, 899 |
7 | 6, 77, 161, 431, 899 |
6, 11, 23, 431, 899 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 6 x 11 x 23 x 431 x 899 = 74110420692
Therefore, the lowest common multiple of 108,693,966,431,899 is 74110420692.
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.
108 x 693 x 966 x 431 x 899 = 28013739021576
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.
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
431 : 1, 431
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,693,966,431,899, is 1.
Now, the common factors can be found like this.
108:2x 2x 3x 3x 3
693:3x 3x 7x 11
966:2x 3x 7x 23
431:431
899:29x 31
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 3x 3x 7 = 378
Therefore, the value for common factors is 378.
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 = 28013739021576/(1x378)
LCM = 28013739021576/378
LCM = 74110420692
Thus, we can understand that the LCM of 108,693,966,431,899 is 74110420692.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 108, 693, 966, 431, 899?
Answer: LCM of 108, 693, 966, 431, 899 is 74110420692.
2. How to calculate the LCM of 108, 693, 966, 431, 899?
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 108, 693, 966, 431, 899.
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}.