LCM of 296, 414, 184, 233
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 296, 414, 184, 233 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 296, 414, 184, 233. So, keep reading to learn more.
Given numbers are 296,414,184,233
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 296,414,184,233 is 14276376.
Find LCM of 296,414,184,233 with Prime Factorization
| 2 | 296, 414, 184, 233 |
| 2 | 148, 207, 92, 233 |
| 2 | 74, 207, 46, 233 |
| 23 | 37, 207, 23, 233 |
| 37, 9, 1, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 37 x 9 x 1 x 233 = 14276376
Therefore, the lowest common multiple of 296,414,184,233 is 14276376.
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.
296 x 414 x 184 x 233 = 5253706368
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.
296 : 1, 2, 4, 8, 37, 74, 148, 296
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
184 : 1, 2, 4, 8, 23, 46, 92, 184
233 : 1, 233
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,414,184,233, is 1.
Now, the common factors can be found like this.
296:2x 2x 2x 37
414:2x 3x 3x 23
184:2x 2x 2x 23
233:233
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 23 = 368
Therefore, the value for common factors is 368.
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 = 5253706368/(1x368)
LCM = 5253706368/368
LCM = 14276376
Thus, we can understand that the LCM of 296,414,184,233 is 14276376.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 296, 414, 184, 233
1. What is the LCM of 296, 414, 184, 233?
Answer: LCM of 296, 414, 184, 233 is 14276376.
2. How to calculate the LCM of 296, 414, 184, 233?
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 296, 414, 184, 233.
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}.