Find the LCM of 169, 982, 418, 684, 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 169, 982, 418, 684, 323. So, keep reading to learn more.
Given numbers are 169,982,418,684,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,982,418,684,323 is 10613677932.
Find LCM of 169,982,418,684,323 with Prime Factorization
2 | 169, 982, 418, 684, 323 |
19 | 169, 491, 209, 342, 323 |
169, 491, 11, 18, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 169 x 491 x 11 x 18 x 17 = 10613677932
Therefore, the lowest common multiple of 169,982,418,684,323 is 10613677932.
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.
169 x 982 x 418 x 684 x 323 = 15326150933808
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.
169 : 1, 13, 169
982 : 1, 2, 491, 982
418 : 1, 2, 11, 19, 22, 38, 209, 418
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,982,418,684,323, is 1.
Now, the common factors can be found like this.
169:13x 13
982:2x 491
418:2x 11x 19
684:2x 2x 3x 3x 19
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 19x 19 = 1444
Therefore, the value for common factors is 1444.
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 = 15326150933808/(1x1444)
LCM = 15326150933808/1444
LCM = 10613677932
Thus, we can understand that the LCM of 169,982,418,684,323 is 10613677932.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 982, 418, 684, 323?
Answer: LCM of 169, 982, 418, 684, 323 is 10613677932.
2. How to calculate the LCM of 169, 982, 418, 684, 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 169, 982, 418, 684, 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}.