LCM of 732, 964, 588, 184, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 964, 588, 184, 329 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 732, 964, 588, 184, 329. So, keep reading to learn more.
Given numbers are 732,964,588,184,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,964,588,184,329 is 18688734456.
Find LCM of 732,964,588,184,329 with Prime Factorization
| 2 | 732, 964, 588, 184, 329 |
| 2 | 366, 482, 294, 92, 329 |
| 3 | 183, 241, 147, 46, 329 |
| 7 | 61, 241, 49, 46, 329 |
| 61, 241, 7, 46, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 61 x 241 x 7 x 46 x 47 = 18688734456
Therefore, the lowest common multiple of 732,964,588,184,329 is 18688734456.
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.
732 x 964 x 588 x 184 x 329 = 25117659108864
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
964 : 1, 2, 4, 241, 482, 964
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
184 : 1, 2, 4, 8, 23, 46, 92, 184
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,964,588,184,329, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
964:2x 2x 241
588:2x 2x 3x 7x 7
184:2x 2x 2x 23
329:7x 47
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 7 = 1344
Therefore, the value for common factors is 1344.
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 = 25117659108864/(1x1344)
LCM = 25117659108864/1344
LCM = 18688734456
Thus, we can understand that the LCM of 732,964,588,184,329 is 18688734456.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 732, 964, 588, 184, 329
1. What is the LCM of 732, 964, 588, 184, 329?
Answer: LCM of 732, 964, 588, 184, 329 is 18688734456.
2. How to calculate the LCM of 732, 964, 588, 184, 329?
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 732, 964, 588, 184, 329.
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}.