LCM of 429, 308, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 308, 209 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, 308, 209. So, keep reading to learn more.
Given numbers are 429,308,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,308,209 is 228228.
Find LCM of 429,308,209 with Prime Factorization
| 11 | 429, 308, 209 |
| 39, 28, 19 |
Multiply the prime numbers at the bottom and the left side.
11 x 39 x 28 x 19 = 228228
Therefore, the lowest common multiple of 429,308,209 is 228228.
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 308 x 209 = 27615588
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
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
209 : 1, 11, 19, 209
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,308,209, is 11.
Now, the common factors can be found like this.
429:3x 11x 13
308:2x 2x 7x 11
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 27615588/(11x11)
LCM = 27615588/121
LCM = 228228
Thus, we can understand that the LCM of 429,308,209 is 228228.
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FAQs on LCM of 429, 308, 209
1. What is the LCM of 429, 308, 209?
Answer: LCM of 429, 308, 209 is 228228.
2. How to calculate the LCM of 429, 308, 209?
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, 308, 209.
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}.