Find the LCM of 633, 391, 522, 211, 600 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 633, 391, 522, 211, 600. So, keep reading to learn more.
Given numbers are 633,391,522,211,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,391,522,211,600 is 4306552200.
Find LCM of 633,391,522,211,600 with Prime Factorization
2 | 633, 391, 522, 211, 600 |
3 | 633, 391, 261, 211, 300 |
211 | 211, 391, 87, 211, 100 |
1, 391, 87, 1, 100 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 211 x 1 x 391 x 87 x 1 x 100 = 4306552200
Therefore, the lowest common multiple of 633,391,522,211,600 is 4306552200.
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.
633 x 391 x 522 x 211 x 600 = 16356285255600
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.
633 : 1, 3, 211, 633
391 : 1, 17, 23, 391
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
211 : 1, 211
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,391,522,211,600, is 1.
Now, the common factors can be found like this.
633:3x 211
391:17x 23
522:2x 3x 3x 29
211:211
600:2x 2x 2x 3x 5x 5
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 211 = 3798
Therefore, the value for common factors is 3798.
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 = 16356285255600/(1x3798)
LCM = 16356285255600/3798
LCM = 4306552200
Thus, we can understand that the LCM of 633,391,522,211,600 is 4306552200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 633, 391, 522, 211, 600?
Answer: LCM of 633, 391, 522, 211, 600 is 4306552200.
2. How to calculate the LCM of 633, 391, 522, 211, 600?
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 633, 391, 522, 211, 600.
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}.