Find the LCM of 818, 345, 943, 485 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 818, 345, 943, 485. So, keep reading to learn more.
Given numbers are 818,345,943,485
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,345,943,485 is 1122349170.
Find LCM of 818,345,943,485 with Prime Factorization
5 | 818, 345, 943, 485 |
23 | 818, 69, 943, 97 |
818, 3, 41, 97 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 818 x 3 x 41 x 97 = 1122349170
Therefore, the lowest common multiple of 818,345,943,485 is 1122349170.
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.
818 x 345 x 943 x 485 = 129070154550
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.
818 : 1, 2, 409, 818
345 : 1, 3, 5, 15, 23, 69, 115, 345
943 : 1, 23, 41, 943
485 : 1, 5, 97, 485
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,345,943,485, is 1.
Now, the common factors can be found like this.
818:2x 409
345:3x 5x 23
943:23x 41
485:5x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 23 = 115
Therefore, the value for common factors is 115.
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 = 129070154550/(1x115)
LCM = 129070154550/115
LCM = 1122349170
Thus, we can understand that the LCM of 818,345,943,485 is 1122349170.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 818, 345, 943, 485?
Answer: LCM of 818, 345, 943, 485 is 1122349170.
2. How to calculate the LCM of 818, 345, 943, 485?
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 818, 345, 943, 485.
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}.