LCM of 398, 397, 588, 308, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 397, 588, 308, 462 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, 397, 588, 308, 462. So, keep reading to learn more.
Given numbers are 398,397,588,308,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,397,588,308,462 is 510991404.
Find LCM of 398,397,588,308,462 with Prime Factorization
| 2 | 398, 397, 588, 308, 462 |
| 2 | 199, 397, 294, 154, 231 |
| 3 | 199, 397, 147, 77, 231 |
| 7 | 199, 397, 49, 77, 77 |
| 11 | 199, 397, 7, 11, 11 |
| 199, 397, 7, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 199 x 397 x 7 x 1 x 1 = 510991404
Therefore, the lowest common multiple of 398,397,588,308,462 is 510991404.
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 397 x 588 x 308 x 462 = 13220369604288
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
397 : 1, 397
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,397,588,308,462, is 1.
Now, the common factors can be found like this.
398:2x 199
397:397
588:2x 2x 3x 7x 7
308:2x 2x 7x 11
462:2x 3x 7x 11
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 2x 3x 7x 7x 11 = 25872
Therefore, the value for common factors is 25872.
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 = 13220369604288/(1x25872)
LCM = 13220369604288/25872
LCM = 510991404
Thus, we can understand that the LCM of 398,397,588,308,462 is 510991404.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 398, 397, 588, 308, 462
1. What is the LCM of 398, 397, 588, 308, 462?
Answer: LCM of 398, 397, 588, 308, 462 is 510991404.
2. How to calculate the LCM of 398, 397, 588, 308, 462?
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, 397, 588, 308, 462.
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}.