Find the LCM of 808, 715, 182, 226, 852 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 808, 715, 182, 226, 852. So, keep reading to learn more.
Given numbers are 808,715,182,226,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,715,182,226,852 is 97335998760.
Find LCM of 808,715,182,226,852 with Prime Factorization
2 | 808, 715, 182, 226, 852 |
2 | 404, 715, 91, 113, 426 |
13 | 202, 715, 91, 113, 213 |
202, 55, 7, 113, 213 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 202 x 55 x 7 x 113 x 213 = 97335998760
Therefore, the lowest common multiple of 808,715,182,226,852 is 97335998760.
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.
808 x 715 x 182 x 226 x 852 = 20245887742080
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.
808 : 1, 2, 4, 8, 101, 202, 404, 808
715 : 1, 5, 11, 13, 55, 65, 143, 715
182 : 1, 2, 7, 13, 14, 26, 91, 182
226 : 1, 2, 113, 226
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,715,182,226,852, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
715:5x 11x 13
182:2x 7x 13
226:2x 113
852:2x 2x 3x 71
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 13 = 208
Therefore, the value for common factors is 208.
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 = 20245887742080/(1x208)
LCM = 20245887742080/208
LCM = 97335998760
Thus, we can understand that the LCM of 808,715,182,226,852 is 97335998760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 808, 715, 182, 226, 852?
Answer: LCM of 808, 715, 182, 226, 852 is 97335998760.
2. How to calculate the LCM of 808, 715, 182, 226, 852?
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 808, 715, 182, 226, 852.
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}.