Find the LCM of 366, 301, 404, 774, 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 366, 301, 404, 774, 323. So, keep reading to learn more.
Given numbers are 366,301,404,774,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 366,301,404,774,323 is 21563672508.
Find LCM of 366,301,404,774,323 with Prime Factorization
2 | 366, 301, 404, 774, 323 |
3 | 183, 301, 202, 387, 323 |
43 | 61, 301, 202, 129, 323 |
61, 7, 202, 3, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 61 x 7 x 202 x 3 x 323 = 21563672508
Therefore, the lowest common multiple of 366,301,404,774,323 is 21563672508.
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.
366 x 301 x 404 x 774 x 323 = 11126855014128
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.
366 : 1, 2, 3, 6, 61, 122, 183, 366
301 : 1, 7, 43, 301
404 : 1, 2, 4, 101, 202, 404
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,301,404,774,323, is 1.
Now, the common factors can be found like this.
366:2x 3x 61
301:7x 43
404:2x 2x 101
774:2x 3x 3x 43
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 3x 43 = 516
Therefore, the value for common factors is 516.
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 = 11126855014128/(1x516)
LCM = 11126855014128/516
LCM = 21563672508
Thus, we can understand that the LCM of 366,301,404,774,323 is 21563672508.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 366, 301, 404, 774, 323?
Answer: LCM of 366, 301, 404, 774, 323 is 21563672508.
2. How to calculate the LCM of 366, 301, 404, 774, 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 366, 301, 404, 774, 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}.