Find the LCM of 814, 555, 655, 683, 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 814, 555, 655, 683, 416. So, keep reading to learn more.
Given numbers are 814,555,655,683,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,555,655,683,416 is 227232788640.
Find LCM of 814,555,655,683,416 with Prime Factorization
2 | 814, 555, 655, 683, 416 |
5 | 407, 555, 655, 683, 208 |
37 | 407, 111, 131, 683, 208 |
11, 3, 131, 683, 208 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 37 x 11 x 3 x 131 x 683 x 208 = 227232788640
Therefore, the lowest common multiple of 814,555,655,683,416 is 227232788640.
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.
814 x 555 x 655 x 683 x 416 = 84076131796800
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
555 : 1, 3, 5, 15, 37, 111, 185, 555
655 : 1, 5, 131, 655
683 : 1, 683
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 814,555,655,683,416, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
555:3x 5x 37
655:5x 131
683:683
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 5x 37 = 370
Therefore, the value for common factors is 370.
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 = 84076131796800/(1x370)
LCM = 84076131796800/370
LCM = 227232788640
Thus, we can understand that the LCM of 814,555,655,683,416 is 227232788640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 555, 655, 683, 416?
Answer: LCM of 814, 555, 655, 683, 416 is 227232788640.
2. How to calculate the LCM of 814, 555, 655, 683, 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 814, 555, 655, 683, 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}.