LCM of 217, 418, 209, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 217, 418, 209, 321 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 217, 418, 209, 321. So, keep reading to learn more.
Given numbers are 217,418,209,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,418,209,321 is 29116626.
Find LCM of 217,418,209,321 with Prime Factorization
| 11 | 217, 418, 209, 321 |
| 19 | 217, 38, 19, 321 |
| 217, 2, 1, 321 |
Multiply the prime numbers at the bottom and the left side.
11 x 19 x 217 x 2 x 1 x 321 = 29116626
Therefore, the lowest common multiple of 217,418,209,321 is 29116626.
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.
217 x 418 x 209 x 321 = 6085374834
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.
217 : 1, 7, 31, 217
418 : 1, 2, 11, 19, 22, 38, 209, 418
209 : 1, 11, 19, 209
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,418,209,321, is 1.
Now, the common factors can be found like this.
217:7x 31
418:2x 11x 19
209:11x 19
321:3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 19 = 209
Therefore, the value for common factors is 209.
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 = 6085374834/(1x209)
LCM = 6085374834/209
LCM = 29116626
Thus, we can understand that the LCM of 217,418,209,321 is 29116626.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 217, 418, 209, 321
1. What is the LCM of 217, 418, 209, 321?
Answer: LCM of 217, 418, 209, 321 is 29116626.
2. How to calculate the LCM of 217, 418, 209, 321?
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 217, 418, 209, 321.
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}.