Find the LCM of 645, 949, 323, 725, 188 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 645, 949, 323, 725, 188. So, keep reading to learn more.
Given numbers are 645,949,323,725,188
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,949,323,725,188 is 5389572282900.
Find LCM of 645,949,323,725,188 with Prime Factorization
5 | 645, 949, 323, 725, 188 |
129, 949, 323, 145, 188 |
Multiply the prime numbers at the bottom and the left side.
5 x 129 x 949 x 323 x 145 x 188 = 5389572282900
Therefore, the lowest common multiple of 645,949,323,725,188 is 5389572282900.
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.
645 x 949 x 323 x 725 x 188 = 26947861414500
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.
645 : 1, 3, 5, 15, 43, 129, 215, 645
949 : 1, 13, 73, 949
323 : 1, 17, 19, 323
725 : 1, 5, 25, 29, 145, 725
188 : 1, 2, 4, 47, 94, 188
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,949,323,725,188, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
949:13x 73
323:17x 19
725:5x 5x 29
188:2x 2x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 26947861414500/(1x5)
LCM = 26947861414500/5
LCM = 5389572282900
Thus, we can understand that the LCM of 645,949,323,725,188 is 5389572282900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 645, 949, 323, 725, 188?
Answer: LCM of 645, 949, 323, 725, 188 is 5389572282900.
2. How to calculate the LCM of 645, 949, 323, 725, 188?
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 645, 949, 323, 725, 188.
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}.