Find the LCM of 399, 849, 872, 564 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, 849, 872, 564. So, keep reading to learn more.
Given numbers are 399,849,872,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 399,849,872,564 is 4627790328.
Find LCM of 399,849,872,564 with Prime Factorization
2 | 399, 849, 872, 564 |
2 | 399, 849, 436, 282 |
3 | 399, 849, 218, 141 |
133, 283, 218, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 133 x 283 x 218 x 47 = 4627790328
Therefore, the lowest common multiple of 399,849,872,564 is 4627790328.
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 849 x 872 x 564 = 166600451808
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
849 : 1, 3, 283, 849
872 : 1, 2, 4, 8, 109, 218, 436, 872
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,849,872,564, is 1.
Now, the common factors can be found like this.
399:3x 7x 19
849:3x 283
872:2x 2x 2x 109
564:2x 2x 3x 47
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 166600451808/(1x36)
LCM = 166600451808/36
LCM = 4627790328
Thus, we can understand that the LCM of 399,849,872,564 is 4627790328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 399, 849, 872, 564?
Answer: LCM of 399, 849, 872, 564 is 4627790328.
2. How to calculate the LCM of 399, 849, 872, 564?
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, 849, 872, 564.
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}.