Find the LCM of 728, 441, 443, 273, 553 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 728, 441, 443, 273, 553. So, keep reading to learn more.
Given numbers are 728,441,443,273,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,441,443,273,553 is 1605102408.
Find LCM of 728,441,443,273,553 with Prime Factorization
3 | 728, 441, 443, 273, 553 |
7 | 728, 147, 443, 91, 553 |
13 | 104, 21, 443, 13, 79 |
8, 21, 443, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 13 x 8 x 21 x 443 x 1 x 79 = 1605102408
Therefore, the lowest common multiple of 728,441,443,273,553 is 1605102408.
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.
728 x 441 x 443 x 273 x 553 = 21471454911816
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
443 : 1, 443
273 : 1, 3, 7, 13, 21, 39, 91, 273
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,441,443,273,553, is 1.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
441:3x 3x 7x 7
443:443
273:3x 7x 13
553:7x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 7x 13 = 13377
Therefore, the value for common factors is 13377.
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 = 21471454911816/(1x13377)
LCM = 21471454911816/13377
LCM = 1605102408
Thus, we can understand that the LCM of 728,441,443,273,553 is 1605102408.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 728, 441, 443, 273, 553?
Answer: LCM of 728, 441, 443, 273, 553 is 1605102408.
2. How to calculate the LCM of 728, 441, 443, 273, 553?
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 728, 441, 443, 273, 553.
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}.