Find the LCM of 923, 359, 542, 355, 329 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 923, 359, 542, 355, 329. So, keep reading to learn more.
Given numbers are 923,359,542,355,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,359,542,355,329 is 295434587630.
Find LCM of 923,359,542,355,329 with Prime Factorization
71 | 923, 359, 542, 355, 329 |
13, 359, 542, 5, 329 |
Multiply the prime numbers at the bottom and the left side.
71 x 13 x 359 x 542 x 5 x 329 = 295434587630
Therefore, the lowest common multiple of 923,359,542,355,329 is 295434587630.
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.
923 x 359 x 542 x 355 x 329 = 20975855721730
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.
923 : 1, 13, 71, 923
359 : 1, 359
542 : 1, 2, 271, 542
355 : 1, 5, 71, 355
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,359,542,355,329, is 1.
Now, the common factors can be found like this.
923:13x 71
359:359
542:2x 271
355:5x 71
329:7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
71 = 71
Therefore, the value for common factors is 71.
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 = 20975855721730/(1x71)
LCM = 20975855721730/71
LCM = 295434587630
Thus, we can understand that the LCM of 923,359,542,355,329 is 295434587630.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 923, 359, 542, 355, 329?
Answer: LCM of 923, 359, 542, 355, 329 is 295434587630.
2. How to calculate the LCM of 923, 359, 542, 355, 329?
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 923, 359, 542, 355, 329.
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}.