Find the LCM of 322, 788, 728, 713 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 322, 788, 728, 713. So, keep reading to learn more.
Given numbers are 322,788,728,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,788,728,713 is 102255608.
Find LCM of 322,788,728,713 with Prime Factorization
2 | 322, 788, 728, 713 |
2 | 161, 394, 364, 713 |
7 | 161, 197, 182, 713 |
23 | 23, 197, 26, 713 |
1, 197, 26, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 23 x 1 x 197 x 26 x 31 = 102255608
Therefore, the lowest common multiple of 322,788,728,713 is 102255608.
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.
322 x 788 x 728 x 713 = 131705223104
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
788 : 1, 2, 4, 197, 394, 788
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,788,728,713, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
788:2x 2x 197
728:2x 2x 2x 7x 13
713:23x 31
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 7x 23 = 1288
Therefore, the value for common factors is 1288.
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 = 131705223104/(1x1288)
LCM = 131705223104/1288
LCM = 102255608
Thus, we can understand that the LCM of 322,788,728,713 is 102255608.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 322, 788, 728, 713?
Answer: LCM of 322, 788, 728, 713 is 102255608.
2. How to calculate the LCM of 322, 788, 728, 713?
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 322, 788, 728, 713.
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}.