LCM of 603, 204, 144, 766
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 603, 204, 144, 766 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 603, 204, 144, 766. So, keep reading to learn more.
Given numbers are 603,204,144,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 603,204,144,766 is 62818128.
Find LCM of 603,204,144,766 with Prime Factorization
| 2 | 603, 204, 144, 766 |
| 2 | 603, 102, 72, 383 |
| 3 | 603, 51, 36, 383 |
| 3 | 201, 17, 12, 383 |
| 67, 17, 4, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 67 x 17 x 4 x 383 = 62818128
Therefore, the lowest common multiple of 603,204,144,766 is 62818128.
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.
603 x 204 x 144 x 766 = 13568715648
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.
603 : 1, 3, 9, 67, 201, 603
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
766 : 1, 2, 383, 766
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 603,204,144,766, is 1.
Now, the common factors can be found like this.
603:3x 3x 67
204:2x 2x 3x 17
144:2x 2x 2x 2x 3x 3
766:2x 383
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 13568715648/(1x216)
LCM = 13568715648/216
LCM = 62818128
Thus, we can understand that the LCM of 603,204,144,766 is 62818128.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 603, 204, 144, 766
1. What is the LCM of 603, 204, 144, 766?
Answer: LCM of 603, 204, 144, 766 is 62818128.
2. How to calculate the LCM of 603, 204, 144, 766?
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 603, 204, 144, 766.
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}.