Find the LCM of 288, 444, 168, 519, 901 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 288, 444, 168, 519, 901. So, keep reading to learn more.
Given numbers are 288,444,168,519,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,444,168,519,901 is 11626878816.
Find LCM of 288,444,168,519,901 with Prime Factorization
2 | 288, 444, 168, 519, 901 |
2 | 144, 222, 84, 519, 901 |
2 | 72, 111, 42, 519, 901 |
3 | 36, 111, 21, 519, 901 |
12, 37, 7, 173, 901 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 12 x 37 x 7 x 173 x 901 = 11626878816
Therefore, the lowest common multiple of 288,444,168,519,901 is 11626878816.
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.
288 x 444 x 168 x 519 x 901 = 10045623297024
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
519 : 1, 3, 173, 519
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,444,168,519,901, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
444:2x 2x 3x 37
168:2x 2x 2x 3x 7
519:3x 173
901:17x 53
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 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 10045623297024/(1x864)
LCM = 10045623297024/864
LCM = 11626878816
Thus, we can understand that the LCM of 288,444,168,519,901 is 11626878816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 288, 444, 168, 519, 901?
Answer: LCM of 288, 444, 168, 519, 901 is 11626878816.
2. How to calculate the LCM of 288, 444, 168, 519, 901?
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 288, 444, 168, 519, 901.
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}.