Find the LCM of 494, 622, 383, 436, 738 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 494, 622, 383, 436, 738. So, keep reading to learn more.
Given numbers are 494,622,383,436,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,622,383,436,738 is 4733353845324.
Find LCM of 494,622,383,436,738 with Prime Factorization
2 | 494, 622, 383, 436, 738 |
247, 311, 383, 218, 369 |
Multiply the prime numbers at the bottom and the left side.
2 x 247 x 311 x 383 x 218 x 369 = 4733353845324
Therefore, the lowest common multiple of 494,622,383,436,738 is 4733353845324.
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.
494 x 622 x 383 x 436 x 738 = 37866830762592
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
622 : 1, 2, 311, 622
383 : 1, 383
436 : 1, 2, 4, 109, 218, 436
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,622,383,436,738, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
622:2x 311
383:383
436:2x 2x 109
738:2x 3x 3x 41
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 2 = 8
Therefore, the value for common factors is 8.
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 = 37866830762592/(1x8)
LCM = 37866830762592/8
LCM = 4733353845324
Thus, we can understand that the LCM of 494,622,383,436,738 is 4733353845324.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 622, 383, 436, 738?
Answer: LCM of 494, 622, 383, 436, 738 is 4733353845324.
2. How to calculate the LCM of 494, 622, 383, 436, 738?
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 494, 622, 383, 436, 738.
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}.