LCM of 998, 361, 157, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 998, 361, 157, 684 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, 361, 157, 684. So, keep reading to learn more.
Given numbers are 998,361,157,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,361,157,684 is 1018145628.
Find LCM of 998,361,157,684 with Prime Factorization
| 2 | 998, 361, 157, 684 |
| 19 | 499, 361, 157, 342 |
| 499, 19, 157, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 499 x 19 x 157 x 18 = 1018145628
Therefore, the lowest common multiple of 998,361,157,684 is 1018145628.
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 361 x 157 x 684 = 38689533864
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
361 : 1, 19, 361
157 : 1, 157
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,361,157,684, is 1.
Now, the common factors can be found like this.
998:2x 499
361:19x 19
157:157
684:2x 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 19 = 38
Therefore, the value for common factors is 38.
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 = 38689533864/(1x38)
LCM = 38689533864/38
LCM = 1018145628
Thus, we can understand that the LCM of 998,361,157,684 is 1018145628.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 998, 361, 157, 684
1. What is the LCM of 998, 361, 157, 684?
Answer: LCM of 998, 361, 157, 684 is 1018145628.
2. How to calculate the LCM of 998, 361, 157, 684?
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, 361, 157, 684.
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}.