Find the LCM of 321, 643, 216, 600, 642 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 321, 643, 216, 600, 642. So, keep reading to learn more.
Given numbers are 321,643,216,600,642
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,643,216,600,642 is 371525400.
Find LCM of 321,643,216,600,642 with Prime Factorization
2 | 321, 643, 216, 600, 642 |
2 | 321, 643, 108, 300, 321 |
2 | 321, 643, 54, 150, 321 |
3 | 321, 643, 27, 75, 321 |
107 | 107, 643, 9, 25, 107 |
1, 643, 9, 25, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 107 x 1 x 643 x 9 x 25 x 1 = 371525400
Therefore, the lowest common multiple of 321,643,216,600,642 is 371525400.
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.
321 x 643 x 216 x 600 x 642 = 17173390089600
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.
321 : 1, 3, 107, 321
643 : 1, 643
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
642 : 1, 2, 3, 6, 107, 214, 321, 642
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,643,216,600,642, is 1.
Now, the common factors can be found like this.
321:3x 107
643:643
216:2x 2x 2x 3x 3x 3
600:2x 2x 2x 3x 5x 5
642:2x 3x 107
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 2x 2x 3x 3x 3x 107 = 46224
Therefore, the value for common factors is 46224.
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 = 17173390089600/(1x46224)
LCM = 17173390089600/46224
LCM = 371525400
Thus, we can understand that the LCM of 321,643,216,600,642 is 371525400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 643, 216, 600, 642?
Answer: LCM of 321, 643, 216, 600, 642 is 371525400.
2. How to calculate the LCM of 321, 643, 216, 600, 642?
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 321, 643, 216, 600, 642.
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}.