Find the LCM of 399, 444, 330, 464, 232 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 399, 444, 330, 464, 232. So, keep reading to learn more.
Given numbers are 399,444,330,464,232
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 399,444,330,464,232 is 376751760.
Find LCM of 399,444,330,464,232 with Prime Factorization
2 | 399, 444, 330, 464, 232 |
2 | 399, 222, 165, 232, 116 |
2 | 399, 111, 165, 58, 116 |
3 | 399, 111, 165, 29, 58 |
29 | 133, 37, 55, 29, 58 |
133, 37, 55, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 133 x 37 x 55 x 1 x 2 = 376751760
Therefore, the lowest common multiple of 399,444,330,464,232 is 376751760.
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.
399 x 444 x 330 x 464 x 232 = 6293261399040
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.
399 : 1, 3, 7, 19, 21, 57, 133, 399
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
232 : 1, 2, 4, 8, 29, 58, 116, 232
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,444,330,464,232, is 1.
Now, the common factors can be found like this.
399:3x 7x 19
444:2x 2x 3x 37
330:2x 3x 5x 11
464:2x 2x 2x 2x 29
232:2x 2x 2x 29
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 2x 2x 2x 2x 3x 3x 29 = 16704
Therefore, the value for common factors is 16704.
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 = 6293261399040/(1x16704)
LCM = 6293261399040/16704
LCM = 376751760
Thus, we can understand that the LCM of 399,444,330,464,232 is 376751760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 399, 444, 330, 464, 232?
Answer: LCM of 399, 444, 330, 464, 232 is 376751760.
2. How to calculate the LCM of 399, 444, 330, 464, 232?
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 399, 444, 330, 464, 232.
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}.