Find the LCM of 729, 624, 571, 904, 104 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, 624, 571, 904, 104. So, keep reading to learn more.
Given numbers are 729,624,571,904,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,624,571,904,104 is 9783751536.
Find LCM of 729,624,571,904,104 with Prime Factorization
2 | 729, 624, 571, 904, 104 |
2 | 729, 312, 571, 452, 52 |
2 | 729, 156, 571, 226, 26 |
3 | 729, 78, 571, 113, 13 |
13 | 243, 26, 571, 113, 13 |
243, 2, 571, 113, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 243 x 2 x 571 x 113 x 1 = 9783751536
Therefore, the lowest common multiple of 729,624,571,904,104 is 9783751536.
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 624 x 571 x 904 x 104 = 24420243833856
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
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
571 : 1, 571
904 : 1, 2, 4, 8, 113, 226, 452, 904
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,624,571,904,104, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
624:2x 2x 2x 2x 3x 13
571:571
904:2x 2x 2x 113
104:2x 2x 2x 13
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 2x 2x 2x 2x 3x 13 = 2496
Therefore, the value for common factors is 2496.
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 = 24420243833856/(1x2496)
LCM = 24420243833856/2496
LCM = 9783751536
Thus, we can understand that the LCM of 729,624,571,904,104 is 9783751536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 729, 624, 571, 904, 104?
Answer: LCM of 729, 624, 571, 904, 104 is 9783751536.
2. How to calculate the LCM of 729, 624, 571, 904, 104?
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, 624, 571, 904, 104.
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}.