Find the LCM of 890, 445, 459, 986 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 890, 445, 459, 986. So, keep reading to learn more.
Given numbers are 890,445,459,986
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 890,445,459,986 is 11846790.
Find LCM of 890,445,459,986 with Prime Factorization
2 | 890, 445, 459, 986 |
5 | 445, 445, 459, 493 |
17 | 89, 89, 459, 493 |
89 | 89, 89, 27, 29 |
1, 1, 27, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 89 x 1 x 1 x 27 x 29 = 11846790
Therefore, the lowest common multiple of 890,445,459,986 is 11846790.
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.
890 x 445 x 459 x 986 = 179241932700
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.
890 : 1, 2, 5, 10, 89, 178, 445, 890
445 : 1, 5, 89, 445
459 : 1, 3, 9, 17, 27, 51, 153, 459
986 : 1, 2, 17, 29, 34, 58, 493, 986
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,445,459,986, is 1.
Now, the common factors can be found like this.
890:2x 5x 89
445:5x 89
459:3x 3x 3x 17
986:2x 17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17x 89 = 15130
Therefore, the value for common factors is 15130.
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 = 179241932700/(1x15130)
LCM = 179241932700/15130
LCM = 11846790
Thus, we can understand that the LCM of 890,445,459,986 is 11846790.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 890, 445, 459, 986?
Answer: LCM of 890, 445, 459, 986 is 11846790.
2. How to calculate the LCM of 890, 445, 459, 986?
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 890, 445, 459, 986.
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}.