Find the LCM of 121, 323, 591, 801, 356 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 121, 323, 591, 801, 356. So, keep reading to learn more.
Given numbers are 121,323,591,801,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 121,323,591,801,356 is 24668720604.
Find LCM of 121,323,591,801,356 with Prime Factorization
3 | 121, 323, 591, 801, 356 |
89 | 121, 323, 197, 267, 356 |
121, 323, 197, 3, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 89 x 121 x 323 x 197 x 3 x 4 = 24668720604
Therefore, the lowest common multiple of 121,323,591,801,356 is 24668720604.
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.
121 x 323 x 591 x 801 x 356 = 6586548401268
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.
121 : 1, 11, 121
323 : 1, 17, 19, 323
591 : 1, 3, 197, 591
801 : 1, 3, 9, 89, 267, 801
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,323,591,801,356, is 1.
Now, the common factors can be found like this.
121:11x 11
323:17x 19
591:3x 197
801:3x 3x 89
356:2x 2x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 89 = 267
Therefore, the value for common factors is 267.
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 = 6586548401268/(1x267)
LCM = 6586548401268/267
LCM = 24668720604
Thus, we can understand that the LCM of 121,323,591,801,356 is 24668720604.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 121, 323, 591, 801, 356?
Answer: LCM of 121, 323, 591, 801, 356 is 24668720604.
2. How to calculate the LCM of 121, 323, 591, 801, 356?
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 121, 323, 591, 801, 356.
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}.