Find the LCM of 282, 808, 523, 718, 576 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, 808, 523, 718, 576. So, keep reading to learn more.
Given numbers are 282,808,523,718,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 282,808,523,718,576 is 513378707904.
Find LCM of 282,808,523,718,576 with Prime Factorization
2 | 282, 808, 523, 718, 576 |
2 | 141, 404, 523, 359, 288 |
2 | 141, 202, 523, 359, 144 |
3 | 141, 101, 523, 359, 72 |
47, 101, 523, 359, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 47 x 101 x 523 x 359 x 24 = 513378707904
Therefore, the lowest common multiple of 282,808,523,718,576 is 513378707904.
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 808 x 523 x 718 x 576 = 49284355958784
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
808 : 1, 2, 4, 8, 101, 202, 404, 808
523 : 1, 523
718 : 1, 2, 359, 718
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,808,523,718,576, is 1.
Now, the common factors can be found like this.
282:2x 3x 47
808:2x 2x 2x 101
523:523
718:2x 359
576:2x 2x 2x 2x 2x 2x 3x 3
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 3 = 96
Therefore, the value for common factors is 96.
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 = 49284355958784/(1x96)
LCM = 49284355958784/96
LCM = 513378707904
Thus, we can understand that the LCM of 282,808,523,718,576 is 513378707904.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 282, 808, 523, 718, 576?
Answer: LCM of 282, 808, 523, 718, 576 is 513378707904.
2. How to calculate the LCM of 282, 808, 523, 718, 576?
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, 808, 523, 718, 576.
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}.