Find the LCM of 105, 472, 782, 720, 459 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 105, 472, 782, 720, 459. So, keep reading to learn more.
Given numbers are 105,472,782,720,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,472,782,720,459 is 348803280.
Find LCM of 105,472,782,720,459 with Prime Factorization
2 | 105, 472, 782, 720, 459 |
2 | 105, 236, 391, 360, 459 |
2 | 105, 118, 391, 180, 459 |
3 | 105, 59, 391, 90, 459 |
3 | 35, 59, 391, 30, 153 |
5 | 35, 59, 391, 10, 51 |
17 | 7, 59, 391, 2, 51 |
7, 59, 23, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 17 x 7 x 59 x 23 x 2 x 3 = 348803280
Therefore, the lowest common multiple of 105,472,782,720,459 is 348803280.
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.
105 x 472 x 782 x 720 x 459 = 12808056441600
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
472 : 1, 2, 4, 8, 59, 118, 236, 472
782 : 1, 2, 17, 23, 34, 46, 391, 782
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,472,782,720,459, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
472:2x 2x 2x 59
782:2x 17x 23
720:2x 2x 2x 2x 3x 3x 5
459:3x 3x 3x 17
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 3x 3x 3x 5x 17 = 36720
Therefore, the value for common factors is 36720.
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 = 12808056441600/(1x36720)
LCM = 12808056441600/36720
LCM = 348803280
Thus, we can understand that the LCM of 105,472,782,720,459 is 348803280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 105, 472, 782, 720, 459?
Answer: LCM of 105, 472, 782, 720, 459 is 348803280.
2. How to calculate the LCM of 105, 472, 782, 720, 459?
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 105, 472, 782, 720, 459.
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}.