Find the LCM of 645, 135, 685, 216, 154 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 645, 135, 685, 216, 154. So, keep reading to learn more.
Given numbers are 645,135,685,216,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,135,685,216,154 is 489895560.
Find LCM of 645,135,685,216,154 with Prime Factorization
2 | 645, 135, 685, 216, 154 |
3 | 645, 135, 685, 108, 77 |
3 | 215, 45, 685, 36, 77 |
3 | 215, 15, 685, 12, 77 |
5 | 215, 5, 685, 4, 77 |
43, 1, 137, 4, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 43 x 1 x 137 x 4 x 77 = 489895560
Therefore, the lowest common multiple of 645,135,685,216,154 is 489895560.
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.
645 x 135 x 685 x 216 x 154 = 1984077018000
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.
645 : 1, 3, 5, 15, 43, 129, 215, 645
135 : 1, 3, 5, 9, 15, 27, 45, 135
685 : 1, 5, 137, 685
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,135,685,216,154, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
135:3x 3x 3x 5
685:5x 137
216:2x 2x 2x 3x 3x 3
154:2x 7x 11
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 3x 5x 5 = 4050
Therefore, the value for common factors is 4050.
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 = 1984077018000/(1x4050)
LCM = 1984077018000/4050
LCM = 489895560
Thus, we can understand that the LCM of 645,135,685,216,154 is 489895560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 645, 135, 685, 216, 154?
Answer: LCM of 645, 135, 685, 216, 154 is 489895560.
2. How to calculate the LCM of 645, 135, 685, 216, 154?
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 645, 135, 685, 216, 154.
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}.