Find the LCM of 494, 642, 806, 327 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 494, 642, 806, 327. So, keep reading to learn more.
Given numbers are 494,642,806,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,642,806,327 is 535821546.
Find LCM of 494,642,806,327 with Prime Factorization
2 | 494, 642, 806, 327 |
3 | 247, 321, 403, 327 |
13 | 247, 107, 403, 109 |
19, 107, 31, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 107 x 31 x 109 = 535821546
Therefore, the lowest common multiple of 494,642,806,327 is 535821546.
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.
494 x 642 x 806 x 327 = 83588161176
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
642 : 1, 2, 3, 6, 107, 214, 321, 642
806 : 1, 2, 13, 26, 31, 62, 403, 806
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,642,806,327, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
642:2x 3x 107
806:2x 13x 31
327:3x 109
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 83588161176/(1x156)
LCM = 83588161176/156
LCM = 535821546
Thus, we can understand that the LCM of 494,642,806,327 is 535821546.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 642, 806, 327?
Answer: LCM of 494, 642, 806, 327 is 535821546.
2. How to calculate the LCM of 494, 642, 806, 327?
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 494, 642, 806, 327.
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}.