Find the LCM of 542, 988, 442, 323 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 542, 988, 442, 323. So, keep reading to learn more.
Given numbers are 542,988,442,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,988,442,323 is 4551716.
Find LCM of 542,988,442,323 with Prime Factorization
2 | 542, 988, 442, 323 |
13 | 271, 494, 221, 323 |
17 | 271, 38, 17, 323 |
19 | 271, 38, 1, 19 |
271, 2, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 19 x 271 x 2 x 1 x 1 = 4551716
Therefore, the lowest common multiple of 542,988,442,323 is 4551716.
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.
542 x 988 x 442 x 323 = 76450621936
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.
542 : 1, 2, 271, 542
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
442 : 1, 2, 13, 17, 26, 34, 221, 442
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,988,442,323, is 1.
Now, the common factors can be found like this.
542:2x 271
988:2x 2x 13x 19
442:2x 13x 17
323:17x 19
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 13x 17x 19 = 16796
Therefore, the value for common factors is 16796.
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 = 76450621936/(1x16796)
LCM = 76450621936/16796
LCM = 4551716
Thus, we can understand that the LCM of 542,988,442,323 is 4551716.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 542, 988, 442, 323?
Answer: LCM of 542, 988, 442, 323 is 4551716.
2. How to calculate the LCM of 542, 988, 442, 323?
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 542, 988, 442, 323.
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}.