Find the LCM of 729, 966, 465, 722, 308 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 729, 966, 465, 722, 308. So, keep reading to learn more.
Given numbers are 729,966,465,722,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,966,465,722,308 is 288964825380.
Find LCM of 729,966,465,722,308 with Prime Factorization
2 | 729, 966, 465, 722, 308 |
3 | 729, 483, 465, 361, 154 |
7 | 243, 161, 155, 361, 154 |
243, 23, 155, 361, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 243 x 23 x 155 x 361 x 22 = 288964825380
Therefore, the lowest common multiple of 729,966,465,722,308 is 288964825380.
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.
729 x 966 x 465 x 722 x 308 = 72819135995760
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.
729 : 1, 3, 9, 27, 81, 243, 729
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
465 : 1, 3, 5, 15, 31, 93, 155, 465
722 : 1, 2, 19, 38, 361, 722
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,966,465,722,308, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
966:2x 3x 7x 23
465:3x 5x 31
722:2x 19x 19
308:2x 2x 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 2x 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 72819135995760/(1x252)
LCM = 72819135995760/252
LCM = 288964825380
Thus, we can understand that the LCM of 729,966,465,722,308 is 288964825380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 729, 966, 465, 722, 308?
Answer: LCM of 729, 966, 465, 722, 308 is 288964825380.
2. How to calculate the LCM of 729, 966, 465, 722, 308?
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 729, 966, 465, 722, 308.
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}.