Find the LCM of 463, 403, 403, 287, 930 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 463, 403, 403, 287, 930. So, keep reading to learn more.
Given numbers are 463,403,403,287,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,403,403,287,930 is 1606531290.
Find LCM of 463,403,403,287,930 with Prime Factorization
13 | 463, 403, 403, 287, 930 |
31 | 463, 31, 31, 287, 930 |
463, 1, 1, 287, 30 |
Multiply the prime numbers at the bottom and the left side.
13 x 31 x 463 x 1 x 1 x 287 x 30 = 1606531290
Therefore, the lowest common multiple of 463,403,403,287,930 is 1606531290.
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.
463 x 403 x 403 x 287 x 930 = 20070395405970
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.
463 : 1, 463
403 : 1, 13, 31, 403
403 : 1, 13, 31, 403
287 : 1, 7, 41, 287
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,403,403,287,930, is 1.
Now, the common factors can be found like this.
463:463
403:13x 31
403:13x 31
287:7x 41
930:2x 3x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 31x 31 = 12493
Therefore, the value for common factors is 12493.
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 = 20070395405970/(1x12493)
LCM = 20070395405970/12493
LCM = 1606531290
Thus, we can understand that the LCM of 463,403,403,287,930 is 1606531290.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 463, 403, 403, 287, 930?
Answer: LCM of 463, 403, 403, 287, 930 is 1606531290.
2. How to calculate the LCM of 463, 403, 403, 287, 930?
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 463, 403, 403, 287, 930.
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}.