Find the LCM of 736, 489, 464, 476, 638 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 736, 489, 464, 476, 638. So, keep reading to learn more.
Given numbers are 736,489,464,476,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,489,464,476,638 is 13662315744.
Find LCM of 736,489,464,476,638 with Prime Factorization
2 | 736, 489, 464, 476, 638 |
2 | 368, 489, 232, 238, 319 |
2 | 184, 489, 116, 119, 319 |
2 | 92, 489, 58, 119, 319 |
29 | 46, 489, 29, 119, 319 |
46, 489, 1, 119, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 29 x 46 x 489 x 1 x 119 x 11 = 13662315744
Therefore, the lowest common multiple of 736,489,464,476,638 is 13662315744.
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.
736 x 489 x 464 x 476 x 638 = 50714516041728
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
489 : 1, 3, 163, 489
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,489,464,476,638, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
489:3x 163
464:2x 2x 2x 2x 29
476:2x 2x 7x 17
638:2x 11x 29
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 2x 2x 2x 29 = 3712
Therefore, the value for common factors is 3712.
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 = 50714516041728/(1x3712)
LCM = 50714516041728/3712
LCM = 13662315744
Thus, we can understand that the LCM of 736,489,464,476,638 is 13662315744.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 736, 489, 464, 476, 638?
Answer: LCM of 736, 489, 464, 476, 638 is 13662315744.
2. How to calculate the LCM of 736, 489, 464, 476, 638?
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 736, 489, 464, 476, 638.
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}.