LCM of 429, 177, 341, 447, 184
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 177, 341, 447, 184 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 429, 177, 341, 447, 184. So, keep reading to learn more.
Given numbers are 429,177,341,447,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,177,341,447,184 is 21511717656.
Find LCM of 429,177,341,447,184 with Prime Factorization
| 3 | 429, 177, 341, 447, 184 |
| 11 | 143, 59, 341, 149, 184 |
| 13, 59, 31, 149, 184 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 13 x 59 x 31 x 149 x 184 = 21511717656
Therefore, the lowest common multiple of 429,177,341,447,184 is 21511717656.
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.
429 x 177 x 341 x 447 x 184 = 2129660047944
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.
429 : 1, 3, 11, 13, 33, 39, 143, 429
177 : 1, 3, 59, 177
341 : 1, 11, 31, 341
447 : 1, 3, 149, 447
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,177,341,447,184, is 1.
Now, the common factors can be found like this.
429:3x 11x 13
177:3x 59
341:11x 31
447:3x 149
184:2x 2x 2x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11 = 99
Therefore, the value for common factors is 99.
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 = 2129660047944/(1x99)
LCM = 2129660047944/99
LCM = 21511717656
Thus, we can understand that the LCM of 429,177,341,447,184 is 21511717656.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 429, 177, 341, 447, 184
1. What is the LCM of 429, 177, 341, 447, 184?
Answer: LCM of 429, 177, 341, 447, 184 is 21511717656.
2. How to calculate the LCM of 429, 177, 341, 447, 184?
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 429, 177, 341, 447, 184.
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}.