Find the LCM of 398, 532, 998, 998, 293 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 398, 532, 998, 998, 293. So, keep reading to learn more.
Given numbers are 398,532,998,998,293
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,532,998,998,293 is 15478642676.
Find LCM of 398,532,998,998,293 with Prime Factorization
2 | 398, 532, 998, 998, 293 |
499 | 199, 266, 499, 499, 293 |
199, 266, 1, 1, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 499 x 199 x 266 x 1 x 1 x 293 = 15478642676
Therefore, the lowest common multiple of 398,532,998,998,293 is 15478642676.
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.
398 x 532 x 998 x 998 x 293 = 61790741562592
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.
398 : 1, 2, 199, 398
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
998 : 1, 2, 499, 998
998 : 1, 2, 499, 998
293 : 1, 293
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,532,998,998,293, is 1.
Now, the common factors can be found like this.
398:2x 199
532:2x 2x 7x 19
998:2x 499
998:2x 499
293:293
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 2x 499 = 3992
Therefore, the value for common factors is 3992.
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 = 61790741562592/(1x3992)
LCM = 61790741562592/3992
LCM = 15478642676
Thus, we can understand that the LCM of 398,532,998,998,293 is 15478642676.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 398, 532, 998, 998, 293?
Answer: LCM of 398, 532, 998, 998, 293 is 15478642676.
2. How to calculate the LCM of 398, 532, 998, 998, 293?
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 398, 532, 998, 998, 293.
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}.