Find the LCM of 442, 752, 514, 646 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 442, 752, 514, 646. So, keep reading to learn more.
Given numbers are 442,752,514,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,752,514,646 is 811515536.
Find LCM of 442,752,514,646 with Prime Factorization
2 | 442, 752, 514, 646 |
17 | 221, 376, 257, 323 |
13, 376, 257, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 13 x 376 x 257 x 19 = 811515536
Therefore, the lowest common multiple of 442,752,514,646 is 811515536.
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.
442 x 752 x 514 x 646 = 110366112896
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
514 : 1, 2, 257, 514
646 : 1, 2, 17, 19, 34, 38, 323, 646
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,752,514,646, is 2.
Now, the common factors can be found like this.
442:2x 13x 17
752:2x 2x 2x 2x 47
514:2x 257
646:2x 17x 19
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 17 = 68
Therefore, the value for common factors is 68.
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 = 110366112896/(2x68)
LCM = 110366112896/136
LCM = 811515536
Thus, we can understand that the LCM of 442,752,514,646 is 811515536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 442, 752, 514, 646?
Answer: LCM of 442, 752, 514, 646 is 811515536.
2. How to calculate the LCM of 442, 752, 514, 646?
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 442, 752, 514, 646.
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}.