Find the LCM of 305, 655, 576, 736, 409 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 305, 655, 576, 736, 409. So, keep reading to learn more.
Given numbers are 305,655,576,736,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,655,576,736,409 is 216493450560.
Find LCM of 305,655,576,736,409 with Prime Factorization
2 | 305, 655, 576, 736, 409 |
2 | 305, 655, 288, 368, 409 |
2 | 305, 655, 144, 184, 409 |
2 | 305, 655, 72, 92, 409 |
2 | 305, 655, 36, 46, 409 |
5 | 305, 655, 18, 23, 409 |
61, 131, 18, 23, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 61 x 131 x 18 x 23 x 409 = 216493450560
Therefore, the lowest common multiple of 305,655,576,736,409 is 216493450560.
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.
305 x 655 x 576 x 736 x 409 = 34638952089600
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.
305 : 1, 5, 61, 305
655 : 1, 5, 131, 655
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,655,576,736,409, is 1.
Now, the common factors can be found like this.
305:5x 61
655:5x 131
576:2x 2x 2x 2x 2x 2x 3x 3
736:2x 2x 2x 2x 2x 23
409:409
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 5 = 160
Therefore, the value for common factors is 160.
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 = 34638952089600/(1x160)
LCM = 34638952089600/160
LCM = 216493450560
Thus, we can understand that the LCM of 305,655,576,736,409 is 216493450560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 305, 655, 576, 736, 409?
Answer: LCM of 305, 655, 576, 736, 409 is 216493450560.
2. How to calculate the LCM of 305, 655, 576, 736, 409?
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 305, 655, 576, 736, 409.
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}.