Find the LCM of 578, 819, 316, 327, 144 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 578, 819, 316, 327, 144. So, keep reading to learn more.
Given numbers are 578,819,316,327,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,819,316,327,144 is 32610339216.
Find LCM of 578,819,316,327,144 with Prime Factorization
2 | 578, 819, 316, 327, 144 |
2 | 289, 819, 158, 327, 72 |
3 | 289, 819, 79, 327, 36 |
3 | 289, 273, 79, 109, 12 |
289, 91, 79, 109, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 289 x 91 x 79 x 109 x 4 = 32610339216
Therefore, the lowest common multiple of 578,819,316,327,144 is 32610339216.
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.
578 x 819 x 316 x 327 x 144 = 7043833270656
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.
578 : 1, 2, 17, 34, 289, 578
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
316 : 1, 2, 4, 79, 158, 316
327 : 1, 3, 109, 327
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,819,316,327,144, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
819:3x 3x 7x 13
316:2x 2x 79
327:3x 109
144:2x 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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 7043833270656/(1x216)
LCM = 7043833270656/216
LCM = 32610339216
Thus, we can understand that the LCM of 578,819,316,327,144 is 32610339216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 819, 316, 327, 144?
Answer: LCM of 578, 819, 316, 327, 144 is 32610339216.
2. How to calculate the LCM of 578, 819, 316, 327, 144?
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 578, 819, 316, 327, 144.
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}.