Find the LCM of 202, 442, 811, 909, 668 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 202, 442, 811, 909, 668. So, keep reading to learn more.
Given numbers are 202,442,811,909,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 202,442,811,909,668 is 108831213972.
Find LCM of 202,442,811,909,668 with Prime Factorization
2 | 202, 442, 811, 909, 668 |
101 | 101, 221, 811, 909, 334 |
1, 221, 811, 9, 334 |
Multiply the prime numbers at the bottom and the left side.
2 x 101 x 1 x 221 x 811 x 9 x 334 = 108831213972
Therefore, the lowest common multiple of 202,442,811,909,668 is 108831213972.
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.
202 x 442 x 811 x 909 x 668 = 43967810444688
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.
202 : 1, 2, 101, 202
442 : 1, 2, 13, 17, 26, 34, 221, 442
811 : 1, 811
909 : 1, 3, 9, 101, 303, 909
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,442,811,909,668, is 1.
Now, the common factors can be found like this.
202:2x 101
442:2x 13x 17
811:811
909:3x 3x 101
668:2x 2x 167
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 101 = 404
Therefore, the value for common factors is 404.
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 = 43967810444688/(1x404)
LCM = 43967810444688/404
LCM = 108831213972
Thus, we can understand that the LCM of 202,442,811,909,668 is 108831213972.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 202, 442, 811, 909, 668?
Answer: LCM of 202, 442, 811, 909, 668 is 108831213972.
2. How to calculate the LCM of 202, 442, 811, 909, 668?
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 202, 442, 811, 909, 668.
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}.