Find the LCM of 792, 128, 663, 585, 416 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 792, 128, 663, 585, 416. So, keep reading to learn more.
Given numbers are 792,128,663,585,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,128,663,585,416 is 14002560.
Find LCM of 792,128,663,585,416 with Prime Factorization
2 | 792, 128, 663, 585, 416 |
2 | 396, 64, 663, 585, 208 |
2 | 198, 32, 663, 585, 104 |
2 | 99, 16, 663, 585, 52 |
2 | 99, 8, 663, 585, 26 |
3 | 99, 4, 663, 585, 13 |
3 | 33, 4, 221, 195, 13 |
13 | 11, 4, 221, 65, 13 |
11, 4, 17, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 11 x 4 x 17 x 5 x 1 = 14002560
Therefore, the lowest common multiple of 792,128,663,585,416 is 14002560.
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.
792 x 128 x 663 x 585 x 416 = 16356782407680
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.
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
128 : 1, 2, 4, 8, 16, 32, 64, 128
663 : 1, 3, 13, 17, 39, 51, 221, 663
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,128,663,585,416, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
128:2x 2x 2x 2x 2x 2x 2
663:3x 13x 17
585:3x 3x 5x 13
416:2x 2x 2x 2x 2x 13
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 2x 3x 3x 3x 13x 13 = 1168128
Therefore, the value for common factors is 1168128.
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 = 16356782407680/(1x1168128)
LCM = 16356782407680/1168128
LCM = 14002560
Thus, we can understand that the LCM of 792,128,663,585,416 is 14002560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 792, 128, 663, 585, 416?
Answer: LCM of 792, 128, 663, 585, 416 is 14002560.
2. How to calculate the LCM of 792, 128, 663, 585, 416?
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 792, 128, 663, 585, 416.
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}.