Find the LCM of 282, 638, 418, 282, 896 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 282, 638, 418, 282, 896. So, keep reading to learn more.
Given numbers are 282,638,418,282,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,638,418,282,896 is 765722496.
Find LCM of 282,638,418,282,896 with Prime Factorization
2 | 282, 638, 418, 282, 896 |
3 | 141, 319, 209, 141, 448 |
11 | 47, 319, 209, 47, 448 |
47 | 47, 29, 19, 47, 448 |
1, 29, 19, 1, 448 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 47 x 1 x 29 x 19 x 1 x 448 = 765722496
Therefore, the lowest common multiple of 282,638,418,282,896 is 765722496.
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.
282 x 638 x 418 x 282 x 896 = 19002169460736
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.
282 : 1, 2, 3, 6, 47, 94, 141, 282
638 : 1, 2, 11, 22, 29, 58, 319, 638
418 : 1, 2, 11, 19, 22, 38, 209, 418
282 : 1, 2, 3, 6, 47, 94, 141, 282
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,638,418,282,896, is 2.
Now, the common factors can be found like this.
282:2x 3x 47
638:2x 11x 29
418:2x 11x 19
282:2x 3x 47
896:2x 2x 2x 2x 2x 2x 2x 7
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 11x 47 = 12408
Therefore, the value for common factors is 12408.
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 = 19002169460736/(2x12408)
LCM = 19002169460736/24816
LCM = 765722496
Thus, we can understand that the LCM of 282,638,418,282,896 is 765722496.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 282, 638, 418, 282, 896?
Answer: LCM of 282, 638, 418, 282, 896 is 765722496.
2. How to calculate the LCM of 282, 638, 418, 282, 896?
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 282, 638, 418, 282, 896.
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}.