Find the LCM of 484, 671, 732, 469 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 484, 671, 732, 469. So, keep reading to learn more.
Given numbers are 484,671,732,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,671,732,469 is 41540268.
Find LCM of 484,671,732,469 with Prime Factorization
2 | 484, 671, 732, 469 |
2 | 242, 671, 366, 469 |
11 | 121, 671, 183, 469 |
61 | 11, 61, 183, 469 |
11, 1, 3, 469 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 61 x 11 x 1 x 3 x 469 = 41540268
Therefore, the lowest common multiple of 484,671,732,469 is 41540268.
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.
484 x 671 x 732 x 469 = 111494079312
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
671 : 1, 11, 61, 671
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,671,732,469, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
671:11x 61
732:2x 2x 3x 61
469:7x 67
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 11x 61 = 2684
Therefore, the value for common factors is 2684.
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 = 111494079312/(1x2684)
LCM = 111494079312/2684
LCM = 41540268
Thus, we can understand that the LCM of 484,671,732,469 is 41540268.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 484, 671, 732, 469?
Answer: LCM of 484, 671, 732, 469 is 41540268.
2. How to calculate the LCM of 484, 671, 732, 469?
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 484, 671, 732, 469.
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}.