Find the LCM of 808, 707, 980, 287, 345 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, 707, 980, 287, 345. So, keep reading to learn more.
Given numbers are 808,707,980,287,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 808,707,980,287,345 is 560028840.
Find LCM of 808,707,980,287,345 with Prime Factorization
2 | 808, 707, 980, 287, 345 |
2 | 404, 707, 490, 287, 345 |
5 | 202, 707, 245, 287, 345 |
7 | 202, 707, 49, 287, 69 |
101 | 202, 101, 7, 41, 69 |
2, 1, 7, 41, 69 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 101 x 2 x 1 x 7 x 41 x 69 = 560028840
Therefore, the lowest common multiple of 808,707,980,287,345 is 560028840.
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 707 x 980 x 287 x 345 = 55431654583200
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
707 : 1, 7, 101, 707
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
287 : 1, 7, 41, 287
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,707,980,287,345, is 1.
Now, the common factors can be found like this.
808:2x 2x 2x 101
707:7x 101
980:2x 2x 5x 7x 7
287:7x 41
345:3x 5x 23
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 5x 7x 7x 101 = 98980
Therefore, the value for common factors is 98980.
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 = 55431654583200/(1x98980)
LCM = 55431654583200/98980
LCM = 560028840
Thus, we can understand that the LCM of 808,707,980,287,345 is 560028840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 808, 707, 980, 287, 345?
Answer: LCM of 808, 707, 980, 287, 345 is 560028840.
2. How to calculate the LCM of 808, 707, 980, 287, 345?
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, 707, 980, 287, 345.
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}.