Find the LCM of 382, 812, 404, 706, 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 382, 812, 404, 706, 496. So, keep reading to learn more.
Given numbers are 382,812,404,706,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,812,404,706,496 is 685657389424.
Find LCM of 382,812,404,706,496 with Prime Factorization
2 | 382, 812, 404, 706, 496 |
2 | 191, 406, 202, 353, 248 |
191, 203, 101, 353, 124 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 191 x 203 x 101 x 353 x 124 = 685657389424
Therefore, the lowest common multiple of 382,812,404,706,496 is 685657389424.
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.
382 x 812 x 404 x 706 x 496 = 43882072923136
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.
382 : 1, 2, 191, 382
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
404 : 1, 2, 4, 101, 202, 404
706 : 1, 2, 353, 706
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,812,404,706,496, is 2.
Now, the common factors can be found like this.
382:2x 191
812:2x 2x 7x 29
404:2x 2x 101
706:2x 353
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 2x 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 43882072923136/(2x32)
LCM = 43882072923136/64
LCM = 685657389424
Thus, we can understand that the LCM of 382,812,404,706,496 is 685657389424.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 382, 812, 404, 706, 496?
Answer: LCM of 382, 812, 404, 706, 496 is 685657389424.
2. How to calculate the LCM of 382, 812, 404, 706, 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 382, 812, 404, 706, 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}.