LCM of 429, 176, 209, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 429, 176, 209, 462 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, 176, 209, 462. So, keep reading to learn more.
Given numbers are 429,176,209,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 429,176,209,462 is 912912.
Find LCM of 429,176,209,462 with Prime Factorization
| 2 | 429, 176, 209, 462 |
| 3 | 429, 88, 209, 231 |
| 11 | 143, 88, 209, 77 |
| 13, 8, 19, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 8 x 19 x 7 = 912912
Therefore, the lowest common multiple of 429,176,209,462 is 912912.
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 176 x 209 x 462 = 7290515232
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
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
209 : 1, 11, 19, 209
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,176,209,462, is 11.
Now, the common factors can be found like this.
429:3x 11x 13
176:2x 2x 2x 2x 11
209:11x 19
462:2x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 11 = 726
Therefore, the value for common factors is 726.
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 = 7290515232/(11x726)
LCM = 7290515232/7986
LCM = 912912
Thus, we can understand that the LCM of 429,176,209,462 is 912912.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 429, 176, 209, 462
1. What is the LCM of 429, 176, 209, 462?
Answer: LCM of 429, 176, 209, 462 is 912912.
2. How to calculate the LCM of 429, 176, 209, 462?
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, 176, 209, 462.
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}.