Find the LCM of 998, 363, 187, 828, 342 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 998, 363, 187, 828, 342. So, keep reading to learn more.
Given numbers are 998,363,187,828,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,363,187,828,342 is 16148001276.
Find LCM of 998,363,187,828,342 with Prime Factorization
2 | 998, 363, 187, 828, 342 |
3 | 499, 363, 187, 414, 171 |
3 | 499, 121, 187, 138, 57 |
11 | 499, 121, 187, 46, 19 |
499, 11, 17, 46, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 499 x 11 x 17 x 46 x 19 = 16148001276
Therefore, the lowest common multiple of 998,363,187,828,342 is 16148001276.
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.
998 x 363 x 187 x 828 x 342 = 19183825515888
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.
998 : 1, 2, 499, 998
363 : 1, 3, 11, 33, 121, 363
187 : 1, 11, 17, 187
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,363,187,828,342, is 1.
Now, the common factors can be found like this.
998:2x 499
363:3x 11x 11
187:11x 17
828:2x 2x 3x 3x 23
342:2x 3x 3x 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 3x 3x 11 = 1188
Therefore, the value for common factors is 1188.
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 = 19183825515888/(1x1188)
LCM = 19183825515888/1188
LCM = 16148001276
Thus, we can understand that the LCM of 998,363,187,828,342 is 16148001276.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 998, 363, 187, 828, 342?
Answer: LCM of 998, 363, 187, 828, 342 is 16148001276.
2. How to calculate the LCM of 998, 363, 187, 828, 342?
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 998, 363, 187, 828, 342.
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}.