LCM of 341, 363, 398, 458, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 363, 398, 458, 496 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 341, 363, 398, 458, 496. So, keep reading to learn more.
Given numbers are 341,363,398,458,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,363,398,458,496 is 8204967408.
Find LCM of 341,363,398,458,496 with Prime Factorization
| 2 | 341, 363, 398, 458, 496 |
| 11 | 341, 363, 199, 229, 248 |
| 31 | 31, 33, 199, 229, 248 |
| 1, 33, 199, 229, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 1 x 33 x 199 x 229 x 8 = 8204967408
Therefore, the lowest common multiple of 341,363,398,458,496 is 8204967408.
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.
341 x 363 x 398 x 458 x 496 = 11191575544512
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.
341 : 1, 11, 31, 341
363 : 1, 3, 11, 33, 121, 363
398 : 1, 2, 199, 398
458 : 1, 2, 229, 458
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,363,398,458,496, is 1.
Now, the common factors can be found like this.
341:11x 31
363:3x 11x 11
398:2x 199
458:2x 229
496:2x 2x 2x 2x 31
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 11x 31 = 1364
Therefore, the value for common factors is 1364.
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 = 11191575544512/(1x1364)
LCM = 11191575544512/1364
LCM = 8204967408
Thus, we can understand that the LCM of 341,363,398,458,496 is 8204967408.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 341, 363, 398, 458, 496
1. What is the LCM of 341, 363, 398, 458, 496?
Answer: LCM of 341, 363, 398, 458, 496 is 8204967408.
2. How to calculate the LCM of 341, 363, 398, 458, 496?
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 341, 363, 398, 458, 496.
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}.