Find the LCM of 442, 728, 533, 519, 693 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, 728, 533, 519, 693. So, keep reading to learn more.
Given numbers are 442,728,533,519,693
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,728,533,519,693 is 8690513832.
Find LCM of 442,728,533,519,693 with Prime Factorization
2 | 442, 728, 533, 519, 693 |
3 | 221, 364, 533, 519, 693 |
7 | 221, 364, 533, 173, 231 |
13 | 221, 52, 533, 173, 33 |
17, 4, 41, 173, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 17 x 4 x 41 x 173 x 33 = 8690513832
Therefore, the lowest common multiple of 442,728,533,519,693 is 8690513832.
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 728 x 533 x 519 x 693 = 61685267179536
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
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
533 : 1, 13, 41, 533
519 : 1, 3, 173, 519
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,728,533,519,693, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
728:2x 2x 2x 7x 13
533:13x 41
519:3x 173
693:3x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 13x 13 = 7098
Therefore, the value for common factors is 7098.
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 = 61685267179536/(1x7098)
LCM = 61685267179536/7098
LCM = 8690513832
Thus, we can understand that the LCM of 442,728,533,519,693 is 8690513832.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 442, 728, 533, 519, 693?
Answer: LCM of 442, 728, 533, 519, 693 is 8690513832.
2. How to calculate the LCM of 442, 728, 533, 519, 693?
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, 728, 533, 519, 693.
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}.