LCM of 165, 209, 494, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 209, 494, 210 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 165, 209, 494, 210. So, keep reading to learn more.
Given numbers are 165,209,494,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,209,494,210 is 570570.
Find LCM of 165,209,494,210 with Prime Factorization
| 2 | 165, 209, 494, 210 |
| 3 | 165, 209, 247, 105 |
| 5 | 55, 209, 247, 35 |
| 11 | 11, 209, 247, 7 |
| 19 | 1, 19, 247, 7 |
| 1, 1, 13, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 19 x 1 x 1 x 13 x 7 = 570570
Therefore, the lowest common multiple of 165,209,494,210 is 570570.
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.
165 x 209 x 494 x 210 = 3577473900
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
209 : 1, 11, 19, 209
494 : 1, 2, 13, 19, 26, 38, 247, 494
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,209,494,210, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
209:11x 19
494:2x 13x 19
210:2x 3x 5x 7
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 5x 11x 19 = 6270
Therefore, the value for common factors is 6270.
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 = 3577473900/(1x6270)
LCM = 3577473900/6270
LCM = 570570
Thus, we can understand that the LCM of 165,209,494,210 is 570570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 165, 209, 494, 210
1. What is the LCM of 165, 209, 494, 210?
Answer: LCM of 165, 209, 494, 210 is 570570.
2. How to calculate the LCM of 165, 209, 494, 210?
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 165, 209, 494, 210.
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}.