Find the LCM of 144, 198, 638, 648 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 144, 198, 638, 648. So, keep reading to learn more.
Given numbers are 144,198,638,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,198,638,648 is 413424.
Find LCM of 144,198,638,648 with Prime Factorization
2 | 144, 198, 638, 648 |
2 | 72, 99, 319, 324 |
2 | 36, 99, 319, 162 |
3 | 18, 99, 319, 81 |
3 | 6, 33, 319, 27 |
11 | 2, 11, 319, 9 |
2, 1, 29, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 2 x 1 x 29 x 9 = 413424
Therefore, the lowest common multiple of 144,198,638,648 is 413424.
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.
144 x 198 x 638 x 648 = 11787545088
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
638 : 1, 2, 11, 22, 29, 58, 319, 638
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,198,638,648, is 2.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
198:2x 3x 3x 11
638:2x 11x 29
648:2x 2x 2x 3x 3x 3x 3
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 3x 11 = 14256
Therefore, the value for common factors is 14256.
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 = 11787545088/(2x14256)
LCM = 11787545088/28512
LCM = 413424
Thus, we can understand that the LCM of 144,198,638,648 is 413424.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 144, 198, 638, 648?
Answer: LCM of 144, 198, 638, 648 is 413424.
2. How to calculate the LCM of 144, 198, 638, 648?
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 144, 198, 638, 648.
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}.