Find the LCM of 749, 646, 808, 808 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 749, 646, 808, 808. So, keep reading to learn more.
Given numbers are 749,646,808,808
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,646,808,808 is 195477016.
Find LCM of 749,646,808,808 with Prime Factorization
2 | 749, 646, 808, 808 |
2 | 749, 323, 404, 404 |
2 | 749, 323, 202, 202 |
101 | 749, 323, 101, 101 |
749, 323, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 101 x 749 x 323 x 1 x 1 = 195477016
Therefore, the lowest common multiple of 749,646,808,808 is 195477016.
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.
749 x 646 x 808 x 808 = 315890857856
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.
749 : 1, 7, 107, 749
646 : 1, 2, 17, 19, 34, 38, 323, 646
808 : 1, 2, 4, 8, 101, 202, 404, 808
808 : 1, 2, 4, 8, 101, 202, 404, 808
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,646,808,808, is 1.
Now, the common factors can be found like this.
749:7x 107
646:2x 17x 19
808:2x 2x 2x 101
808:2x 2x 2x 101
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 101 = 1616
Therefore, the value for common factors is 1616.
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 = 315890857856/(1x1616)
LCM = 315890857856/1616
LCM = 195477016
Thus, we can understand that the LCM of 749,646,808,808 is 195477016.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 749, 646, 808, 808?
Answer: LCM of 749, 646, 808, 808 is 195477016.
2. How to calculate the LCM of 749, 646, 808, 808?
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 749, 646, 808, 808.
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}.