Find the LCM of 578, 728, 329, 658, 949 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 578, 728, 329, 658, 949. So, keep reading to learn more.
Given numbers are 578,728,329,658,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,728,329,658,949 is 721854952.
Find LCM of 578,728,329,658,949 with Prime Factorization
2 | 578, 728, 329, 658, 949 |
7 | 289, 364, 329, 329, 949 |
13 | 289, 52, 47, 47, 949 |
47 | 289, 4, 47, 47, 73 |
289, 4, 1, 1, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 47 x 289 x 4 x 1 x 1 x 73 = 721854952
Therefore, the lowest common multiple of 578,728,329,658,949 is 721854952.
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.
578 x 728 x 329 x 658 x 949 = 86446461631712
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.
578 : 1, 2, 17, 34, 289, 578
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
329 : 1, 7, 47, 329
658 : 1, 2, 7, 14, 47, 94, 329, 658
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,728,329,658,949, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
728:2x 2x 2x 7x 13
329:7x 47
658:2x 7x 47
949:13x 73
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 7x 7x 13x 47 = 119756
Therefore, the value for common factors is 119756.
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 = 86446461631712/(1x119756)
LCM = 86446461631712/119756
LCM = 721854952
Thus, we can understand that the LCM of 578,728,329,658,949 is 721854952.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 578, 728, 329, 658, 949?
Answer: LCM of 578, 728, 329, 658, 949 is 721854952.
2. How to calculate the LCM of 578, 728, 329, 658, 949?
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 578, 728, 329, 658, 949.
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}.