Find the LCM of 393, 326, 947, 742, 583 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 393, 326, 947, 742, 583. So, keep reading to learn more.
Given numbers are 393,326,947,742,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 393,326,947,742,583 is 495138531426.
Find LCM of 393,326,947,742,583 with Prime Factorization
2 | 393, 326, 947, 742, 583 |
53 | 393, 163, 947, 371, 583 |
393, 163, 947, 7, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 53 x 393 x 163 x 947 x 7 x 11 = 495138531426
Therefore, the lowest common multiple of 393,326,947,742,583 is 495138531426.
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.
393 x 326 x 947 x 742 x 583 = 52484684331156
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.
393 : 1, 3, 131, 393
326 : 1, 2, 163, 326
947 : 1, 947
742 : 1, 2, 7, 14, 53, 106, 371, 742
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,326,947,742,583, is 1.
Now, the common factors can be found like this.
393:3x 131
326:2x 163
947:947
742:2x 7x 53
583:11x 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 53 = 106
Therefore, the value for common factors is 106.
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 = 52484684331156/(1x106)
LCM = 52484684331156/106
LCM = 495138531426
Thus, we can understand that the LCM of 393,326,947,742,583 is 495138531426.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 393, 326, 947, 742, 583?
Answer: LCM of 393, 326, 947, 742, 583 is 495138531426.
2. How to calculate the LCM of 393, 326, 947, 742, 583?
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 393, 326, 947, 742, 583.
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}.