Find the LCM of 998, 463, 463, 219 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, 463, 463, 219. So, keep reading to learn more.
Given numbers are 998,463,463,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,463,463,219 is 101194206.
Find LCM of 998,463,463,219 with Prime Factorization
463 | 998, 463, 463, 219 |
998, 1, 1, 219 |
Multiply the prime numbers at the bottom and the left side.
463 x 998 x 1 x 1 x 219 = 101194206
Therefore, the lowest common multiple of 998,463,463,219 is 101194206.
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 463 x 463 x 219 = 46852917378
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
463 : 1, 463
463 : 1, 463
219 : 1, 3, 73, 219
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,463,463,219, is 1.
Now, the common factors can be found like this.
998:2x 499
463:463
463:463
219:3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
463 = 463
Therefore, the value for common factors is 463.
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 = 46852917378/(1x463)
LCM = 46852917378/463
LCM = 101194206
Thus, we can understand that the LCM of 998,463,463,219 is 101194206.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 998, 463, 463, 219?
Answer: LCM of 998, 463, 463, 219 is 101194206.
2. How to calculate the LCM of 998, 463, 463, 219?
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, 463, 463, 219.
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}.