LCM of 687, 768, 184, 169
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 687, 768, 184, 169 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 687, 768, 184, 169. So, keep reading to learn more.
Given numbers are 687,768,184,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 687,768,184,169 is 683614464.
Find LCM of 687,768,184,169 with Prime Factorization
| 2 | 687, 768, 184, 169 |
| 2 | 687, 384, 92, 169 |
| 2 | 687, 192, 46, 169 |
| 3 | 687, 96, 23, 169 |
| 229, 32, 23, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 229 x 32 x 23 x 169 = 683614464
Therefore, the lowest common multiple of 687,768,184,169 is 683614464.
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.
687 x 768 x 184 x 169 = 16406747136
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.
687 : 1, 3, 229, 687
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
184 : 1, 2, 4, 8, 23, 46, 92, 184
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,768,184,169, is 1.
Now, the common factors can be found like this.
687:3x 229
768:2x 2x 2x 2x 2x 2x 2x 2x 3
184:2x 2x 2x 23
169:13x 13
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 3 = 24
Therefore, the value for common factors is 24.
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 = 16406747136/(1x24)
LCM = 16406747136/24
LCM = 683614464
Thus, we can understand that the LCM of 687,768,184,169 is 683614464.
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FAQs on LCM of 687, 768, 184, 169
1. What is the LCM of 687, 768, 184, 169?
Answer: LCM of 687, 768, 184, 169 is 683614464.
2. How to calculate the LCM of 687, 768, 184, 169?
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 687, 768, 184, 169.
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}.