Find the LCM of 416, 200, 370, 204, 449 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 416, 200, 370, 204, 449. So, keep reading to learn more.
Given numbers are 416,200,370,204,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,200,370,204,449 is 8811535200.
Find LCM of 416,200,370,204,449 with Prime Factorization
2 | 416, 200, 370, 204, 449 |
2 | 208, 100, 185, 102, 449 |
2 | 104, 50, 185, 51, 449 |
5 | 52, 25, 185, 51, 449 |
52, 5, 37, 51, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 52 x 5 x 37 x 51 x 449 = 8811535200
Therefore, the lowest common multiple of 416,200,370,204,449 is 8811535200.
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.
416 x 200 x 370 x 204 x 449 = 2819691264000
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
370 : 1, 2, 5, 10, 37, 74, 185, 370
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,200,370,204,449, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
200:2x 2x 2x 5x 5
370:2x 5x 37
204:2x 2x 3x 17
449:449
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 5 = 320
Therefore, the value for common factors is 320.
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 = 2819691264000/(1x320)
LCM = 2819691264000/320
LCM = 8811535200
Thus, we can understand that the LCM of 416,200,370,204,449 is 8811535200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 416, 200, 370, 204, 449?
Answer: LCM of 416, 200, 370, 204, 449 is 8811535200.
2. How to calculate the LCM of 416, 200, 370, 204, 449?
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 416, 200, 370, 204, 449.
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}.