Find the LCM of 403, 555, 964, 296 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, 555, 964, 296. So, keep reading to learn more.
Given numbers are 403,555,964,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,555,964,296 is 431226120.
Find LCM of 403,555,964,296 with Prime Factorization
2 | 403, 555, 964, 296 |
2 | 403, 555, 482, 148 |
37 | 403, 555, 241, 74 |
403, 15, 241, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 403 x 15 x 241 x 2 = 431226120
Therefore, the lowest common multiple of 403,555,964,296 is 431226120.
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 555 x 964 x 296 = 63821465760
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
555 : 1, 3, 5, 15, 37, 111, 185, 555
964 : 1, 2, 4, 241, 482, 964
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,555,964,296, is 1.
Now, the common factors can be found like this.
403:13x 31
555:3x 5x 37
964:2x 2x 241
296:2x 2x 2x 37
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 37 = 148
Therefore, the value for common factors is 148.
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 = 63821465760/(1x148)
LCM = 63821465760/148
LCM = 431226120
Thus, we can understand that the LCM of 403,555,964,296 is 431226120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 403, 555, 964, 296?
Answer: LCM of 403, 555, 964, 296 is 431226120.
2. How to calculate the LCM of 403, 555, 964, 296?
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, 555, 964, 296.
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}.