Find the LCM of 166, 486, 589, 645, 678 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 166, 486, 589, 645, 678. So, keep reading to learn more.
Given numbers are 166,486,589,645,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 166,486,589,645,678 is 577226897190.
Find LCM of 166,486,589,645,678 with Prime Factorization
2 | 166, 486, 589, 645, 678 |
3 | 83, 243, 589, 645, 339 |
83, 81, 589, 215, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 83 x 81 x 589 x 215 x 113 = 577226897190
Therefore, the lowest common multiple of 166,486,589,645,678 is 577226897190.
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.
166 x 486 x 589 x 645 x 678 = 20780168298840
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.
166 : 1, 2, 83, 166
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
589 : 1, 19, 31, 589
645 : 1, 3, 5, 15, 43, 129, 215, 645
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,486,589,645,678, is 1.
Now, the common factors can be found like this.
166:2x 83
486:2x 3x 3x 3x 3x 3
589:19x 31
645:3x 5x 43
678:2x 3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 20780168298840/(1x36)
LCM = 20780168298840/36
LCM = 577226897190
Thus, we can understand that the LCM of 166,486,589,645,678 is 577226897190.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 166, 486, 589, 645, 678?
Answer: LCM of 166, 486, 589, 645, 678 is 577226897190.
2. How to calculate the LCM of 166, 486, 589, 645, 678?
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 166, 486, 589, 645, 678.
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}.