Find the LCM of 248, 399, 949, 728, 576 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 248, 399, 949, 728, 576. So, keep reading to learn more.
Given numbers are 248,399,949,728,576
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,399,949,728,576 is 2253730752.
Find LCM of 248,399,949,728,576 with Prime Factorization
2 | 248, 399, 949, 728, 576 |
2 | 124, 399, 949, 364, 288 |
2 | 62, 399, 949, 182, 144 |
3 | 31, 399, 949, 91, 72 |
7 | 31, 133, 949, 91, 24 |
13 | 31, 19, 949, 13, 24 |
31, 19, 73, 1, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 31 x 19 x 73 x 1 x 24 = 2253730752
Therefore, the lowest common multiple of 248,399,949,728,576 is 2253730752.
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.
248 x 399 x 949 x 728 x 576 = 39377183698944
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
399 : 1, 3, 7, 19, 21, 57, 133, 399
949 : 1, 13, 73, 949
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,399,949,728,576, is 1.
Now, the common factors can be found like this.
248:2x 2x 2x 31
399:3x 7x 19
949:13x 73
728:2x 2x 2x 7x 13
576:2x 2x 2x 2x 2x 2x 3x 3
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 7x 13 = 17472
Therefore, the value for common factors is 17472.
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 = 39377183698944/(1x17472)
LCM = 39377183698944/17472
LCM = 2253730752
Thus, we can understand that the LCM of 248,399,949,728,576 is 2253730752.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 248, 399, 949, 728, 576?
Answer: LCM of 248, 399, 949, 728, 576 is 2253730752.
2. How to calculate the LCM of 248, 399, 949, 728, 576?
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 248, 399, 949, 728, 576.
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}.