Find the LCM of 323, 289, 678, 652, 953 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 323, 289, 678, 652, 953. So, keep reading to learn more.
Given numbers are 323,289,678,652,953
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,289,678,652,953 is 1156622504844.
Find LCM of 323,289,678,652,953 with Prime Factorization
2 | 323, 289, 678, 652, 953 |
17 | 323, 289, 339, 326, 953 |
19, 17, 339, 326, 953 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 19 x 17 x 339 x 326 x 953 = 1156622504844
Therefore, the lowest common multiple of 323,289,678,652,953 is 1156622504844.
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.
323 x 289 x 678 x 652 x 953 = 39325165164696
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.
323 : 1, 17, 19, 323
289 : 1, 17, 289
678 : 1, 2, 3, 6, 113, 226, 339, 678
652 : 1, 2, 4, 163, 326, 652
953 : 1, 953
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,289,678,652,953, is 1.
Now, the common factors can be found like this.
323:17x 19
289:17x 17
678:2x 3x 113
652:2x 2x 163
953:953
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 39325165164696/(1x34)
LCM = 39325165164696/34
LCM = 1156622504844
Thus, we can understand that the LCM of 323,289,678,652,953 is 1156622504844.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 323, 289, 678, 652, 953?
Answer: LCM of 323, 289, 678, 652, 953 is 1156622504844.
2. How to calculate the LCM of 323, 289, 678, 652, 953?
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 323, 289, 678, 652, 953.
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}.