LCM of 418, 456, 512, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 456, 512, 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 418, 456, 512, 209. So, keep reading to learn more.
Given numbers are 418,456,512,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,456,512,209 is 321024.
Find LCM of 418,456,512,209 with Prime Factorization
| 2 | 418, 456, 512, 209 |
| 2 | 209, 228, 256, 209 |
| 2 | 209, 114, 128, 209 |
| 11 | 209, 57, 64, 209 |
| 19 | 19, 57, 64, 19 |
| 1, 3, 64, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 19 x 1 x 3 x 64 x 1 = 321024
Therefore, the lowest common multiple of 418,456,512,209 is 321024.
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.
418 x 456 x 512 x 209 = 20396580864
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,456,512,209, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
456:2x 2x 2x 3x 19
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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.
2x 2x 2x 2x 11x 19x 19 = 63536
Therefore, the value for common factors is 63536.
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 = 20396580864/(1x63536)
LCM = 20396580864/63536
LCM = 321024
Thus, we can understand that the LCM of 418,456,512,209 is 321024.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 418, 456, 512, 209
1. What is the LCM of 418, 456, 512, 209?
Answer: LCM of 418, 456, 512, 209 is 321024.
2. How to calculate the LCM of 418, 456, 512, 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 418, 456, 512, 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}.