LCM of 204, 213, 239, 336, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 204, 213, 239, 336, 658 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 204, 213, 239, 336, 658. So, keep reading to learn more.
Given numbers are 204,213,239,336,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 204,213,239,336,658 is 4555565616.
Find LCM of 204,213,239,336,658 with Prime Factorization
| 2 | 204, 213, 239, 336, 658 |
| 2 | 102, 213, 239, 168, 329 |
| 3 | 51, 213, 239, 84, 329 |
| 7 | 17, 71, 239, 28, 329 |
| 17, 71, 239, 4, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 17 x 71 x 239 x 4 x 47 = 4555565616
Therefore, the lowest common multiple of 204,213,239,336,658 is 4555565616.
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.
204 x 213 x 239 x 336 x 658 = 2296005070464
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.
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
213 : 1, 3, 71, 213
239 : 1, 239
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,213,239,336,658, is 1.
Now, the common factors can be found like this.
204:2x 2x 3x 17
213:3x 71
239:239
336:2x 2x 2x 2x 3x 7
658:2x 7x 47
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 3x 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 2296005070464/(1x504)
LCM = 2296005070464/504
LCM = 4555565616
Thus, we can understand that the LCM of 204,213,239,336,658 is 4555565616.
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FAQs on LCM of 204, 213, 239, 336, 658
1. What is the LCM of 204, 213, 239, 336, 658?
Answer: LCM of 204, 213, 239, 336, 658 is 4555565616.
2. How to calculate the LCM of 204, 213, 239, 336, 658?
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 204, 213, 239, 336, 658.
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}.