Find the LCM of 449, 311, 533, 381, 328 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 449, 311, 533, 381, 328. So, keep reading to learn more.
Given numbers are 449,311,533,381,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,311,533,381,328 is 226855285176.
Find LCM of 449,311,533,381,328 with Prime Factorization
41 | 449, 311, 533, 381, 328 |
449, 311, 13, 381, 8 |
Multiply the prime numbers at the bottom and the left side.
41 x 449 x 311 x 13 x 381 x 8 = 226855285176
Therefore, the lowest common multiple of 449,311,533,381,328 is 226855285176.
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.
449 x 311 x 533 x 381 x 328 = 9301066692216
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.
449 : 1, 449
311 : 1, 311
533 : 1, 13, 41, 533
381 : 1, 3, 127, 381
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,311,533,381,328, is 1.
Now, the common factors can be found like this.
449:449
311:311
533:13x 41
381:3x 127
328:2x 2x 2x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
41 = 41
Therefore, the value for common factors is 41.
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 = 9301066692216/(1x41)
LCM = 9301066692216/41
LCM = 226855285176
Thus, we can understand that the LCM of 449,311,533,381,328 is 226855285176.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 449, 311, 533, 381, 328?
Answer: LCM of 449, 311, 533, 381, 328 is 226855285176.
2. How to calculate the LCM of 449, 311, 533, 381, 328?
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 449, 311, 533, 381, 328.
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}.