Find the LCM of 476, 323, 364, 891, 361 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 476, 323, 364, 891, 361. So, keep reading to learn more.
Given numbers are 476,323,364,891,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,323,364,891,361 is 1990376388.
Find LCM of 476,323,364,891,361 with Prime Factorization
2 | 476, 323, 364, 891, 361 |
2 | 238, 323, 182, 891, 361 |
7 | 119, 323, 91, 891, 361 |
17 | 17, 323, 13, 891, 361 |
19 | 1, 19, 13, 891, 361 |
1, 1, 13, 891, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 17 x 19 x 1 x 1 x 13 x 891 x 19 = 1990376388
Therefore, the lowest common multiple of 476,323,364,891,361 is 1990376388.
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.
476 x 323 x 364 x 891 x 361 = 18000964053072
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
323 : 1, 17, 19, 323
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,323,364,891,361, is 1.
Now, the common factors can be found like this.
476:2x 2x 7x 17
323:17x 19
364:2x 2x 7x 13
891:3x 3x 3x 3x 11
361:19x 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 7x 17x 19 = 9044
Therefore, the value for common factors is 9044.
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 = 18000964053072/(1x9044)
LCM = 18000964053072/9044
LCM = 1990376388
Thus, we can understand that the LCM of 476,323,364,891,361 is 1990376388.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 476, 323, 364, 891, 361?
Answer: LCM of 476, 323, 364, 891, 361 is 1990376388.
2. How to calculate the LCM of 476, 323, 364, 891, 361?
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 476, 323, 364, 891, 361.
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}.