Find the LCM of 624, 633, 682, 889, 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 624, 633, 682, 889, 600. So, keep reading to learn more.
Given numbers are 624,633,682,889,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,633,682,889,600 is 997845248400.
Find LCM of 624,633,682,889,600 with Prime Factorization
2 | 624, 633, 682, 889, 600 |
2 | 312, 633, 341, 889, 300 |
2 | 156, 633, 341, 889, 150 |
3 | 78, 633, 341, 889, 75 |
26, 211, 341, 889, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 26 x 211 x 341 x 889 x 25 = 997845248400
Therefore, the lowest common multiple of 624,633,682,889,600 is 997845248400.
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.
624 x 633 x 682 x 889 x 600 = 143689715769600
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
633 : 1, 3, 211, 633
682 : 1, 2, 11, 22, 31, 62, 341, 682
889 : 1, 7, 127, 889
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 624,633,682,889,600, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
633:3x 211
682:2x 11x 31
889:7x 127
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 2x 2x 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 143689715769600/(1x144)
LCM = 143689715769600/144
LCM = 997845248400
Thus, we can understand that the LCM of 624,633,682,889,600 is 997845248400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 624, 633, 682, 889, 600?
Answer: LCM of 624, 633, 682, 889, 600 is 997845248400.
2. How to calculate the LCM of 624, 633, 682, 889, 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 624, 633, 682, 889, 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}.