Find the LCM of 432, 216, 918, 493, 296 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 432, 216, 918, 493, 296. So, keep reading to learn more.
Given numbers are 432,216,918,493,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 432,216,918,493,296 is 7880112.
Find LCM of 432,216,918,493,296 with Prime Factorization
2 | 432, 216, 918, 493, 296 |
2 | 216, 108, 459, 493, 148 |
2 | 54, 108, 459, 493, 74 |
3 | 27, 54, 459, 493, 37 |
3 | 9, 18, 153, 493, 37 |
3 | 3, 6, 51, 493, 37 |
17 | 1, 2, 17, 493, 37 |
1, 2, 1, 29, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 17 x 1 x 2 x 1 x 29 x 37 = 7880112
Therefore, the lowest common multiple of 432,216,918,493,296 is 7880112.
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.
432 x 216 x 918 x 493 x 296 = 12500253186048
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.
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
493 : 1, 17, 29, 493
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,216,918,493,296, is 1.
Now, the common factors can be found like this.
432:2x 2x 2x 2x 3x 3x 3
216:2x 2x 2x 3x 3x 3
918:2x 3x 3x 3x 17
493:17x 29
296:2x 2x 2x 37
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 3x 3x 3x 3x 3x 3x 17 = 1586304
Therefore, the value for common factors is 1586304.
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 = 12500253186048/(1x1586304)
LCM = 12500253186048/1586304
LCM = 7880112
Thus, we can understand that the LCM of 432,216,918,493,296 is 7880112.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 432, 216, 918, 493, 296?
Answer: LCM of 432, 216, 918, 493, 296 is 7880112.
2. How to calculate the LCM of 432, 216, 918, 493, 296?
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 432, 216, 918, 493, 296.
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}.