Find the LCM of 998, 717, 415, 239 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, 717, 415, 239. So, keep reading to learn more.
Given numbers are 998,717,415,239
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,717,415,239 is 296959890.
Find LCM of 998,717,415,239 with Prime Factorization
239 | 998, 717, 415, 239 |
998, 3, 415, 1 |
Multiply the prime numbers at the bottom and the left side.
239 x 998 x 3 x 415 x 1 = 296959890
Therefore, the lowest common multiple of 998,717,415,239 is 296959890.
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 717 x 415 x 239 = 70973413710
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
717 : 1, 3, 239, 717
415 : 1, 5, 83, 415
239 : 1, 239
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,717,415,239, is 1.
Now, the common factors can be found like this.
998:2x 499
717:3x 239
415:5x 83
239:239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
239 = 239
Therefore, the value for common factors is 239.
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 = 70973413710/(1x239)
LCM = 70973413710/239
LCM = 296959890
Thus, we can understand that the LCM of 998,717,415,239 is 296959890.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 998, 717, 415, 239?
Answer: LCM of 998, 717, 415, 239 is 296959890.
2. How to calculate the LCM of 998, 717, 415, 239?
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, 717, 415, 239.
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}.