Find the LCM of 403, 382, 451, 310, 305 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 403, 382, 451, 310, 305. So, keep reading to learn more.
Given numbers are 403,382,451,310,305
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,382,451,310,305 is 21176042030.
Find LCM of 403,382,451,310,305 with Prime Factorization
2 | 403, 382, 451, 310, 305 |
5 | 403, 191, 451, 155, 305 |
31 | 403, 191, 451, 31, 61 |
13, 191, 451, 1, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 31 x 13 x 191 x 451 x 1 x 61 = 21176042030
Therefore, the lowest common multiple of 403,382,451,310,305 is 21176042030.
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.
403 x 382 x 451 x 310 x 305 = 6564573029300
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.
403 : 1, 13, 31, 403
382 : 1, 2, 191, 382
451 : 1, 11, 41, 451
310 : 1, 2, 5, 10, 31, 62, 155, 310
305 : 1, 5, 61, 305
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,382,451,310,305, is 1.
Now, the common factors can be found like this.
403:13x 31
382:2x 191
451:11x 41
310:2x 5x 31
305:5x 61
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 31 = 310
Therefore, the value for common factors is 310.
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 = 6564573029300/(1x310)
LCM = 6564573029300/310
LCM = 21176042030
Thus, we can understand that the LCM of 403,382,451,310,305 is 21176042030.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 403, 382, 451, 310, 305?
Answer: LCM of 403, 382, 451, 310, 305 is 21176042030.
2. How to calculate the LCM of 403, 382, 451, 310, 305?
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 403, 382, 451, 310, 305.
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}.