Find the LCM of 805, 403, 545, 442, 868 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 805, 403, 545, 442, 868. So, keep reading to learn more.
Given numbers are 805,403,545,442,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,403,545,442,868 is 2404563980.
Find LCM of 805,403,545,442,868 with Prime Factorization
2 | 805, 403, 545, 442, 868 |
5 | 805, 403, 545, 221, 434 |
7 | 161, 403, 109, 221, 434 |
13 | 23, 403, 109, 221, 62 |
31 | 23, 31, 109, 17, 62 |
23, 1, 109, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 31 x 23 x 1 x 109 x 17 x 2 = 2404563980
Therefore, the lowest common multiple of 805,403,545,442,868 is 2404563980.
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.
805 x 403 x 545 x 442 x 868 = 67832749875800
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
403 : 1, 13, 31, 403
545 : 1, 5, 109, 545
442 : 1, 2, 13, 17, 26, 34, 221, 442
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,403,545,442,868, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
403:13x 31
545:5x 109
442:2x 13x 17
868:2x 2x 7x 31
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 7x 13x 31 = 28210
Therefore, the value for common factors is 28210.
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 = 67832749875800/(1x28210)
LCM = 67832749875800/28210
LCM = 2404563980
Thus, we can understand that the LCM of 805,403,545,442,868 is 2404563980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 805, 403, 545, 442, 868?
Answer: LCM of 805, 403, 545, 442, 868 is 2404563980.
2. How to calculate the LCM of 805, 403, 545, 442, 868?
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 805, 403, 545, 442, 868.
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}.