LCM of 458, 741, 772, 189, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 458, 741, 772, 189, 144 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 458, 741, 772, 189, 144. So, keep reading to learn more.
Given numbers are 458,741,772,189,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 458,741,772,189,144 is 33011976816.
Find LCM of 458,741,772,189,144 with Prime Factorization
| 2 | 458, 741, 772, 189, 144 |
| 2 | 229, 741, 386, 189, 72 |
| 3 | 229, 741, 193, 189, 36 |
| 3 | 229, 247, 193, 63, 12 |
| 229, 247, 193, 21, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 229 x 247 x 193 x 21 x 4 = 33011976816
Therefore, the lowest common multiple of 458,741,772,189,144 is 33011976816.
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.
458 x 741 x 772 x 189 x 144 = 7130586992256
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.
458 : 1, 2, 229, 458
741 : 1, 3, 13, 19, 39, 57, 247, 741
772 : 1, 2, 4, 193, 386, 772
189 : 1, 3, 7, 9, 21, 27, 63, 189
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,741,772,189,144, is 1.
Now, the common factors can be found like this.
458:2x 229
741:3x 13x 19
772:2x 2x 193
189:3x 3x 3x 7
144:2x 2x 2x 2x 3x 3
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 7130586992256/(1x216)
LCM = 7130586992256/216
LCM = 33011976816
Thus, we can understand that the LCM of 458,741,772,189,144 is 33011976816.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 458, 741, 772, 189, 144
1. What is the LCM of 458, 741, 772, 189, 144?
Answer: LCM of 458, 741, 772, 189, 144 is 33011976816.
2. How to calculate the LCM of 458, 741, 772, 189, 144?
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 458, 741, 772, 189, 144.
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}.