LCM of 213, 404, 274, 621, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 213, 404, 274, 621, 414 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 213, 404, 274, 621, 414. So, keep reading to learn more.
Given numbers are 213,404,274,621,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,404,274,621,414 is 2440348668.
Find LCM of 213,404,274,621,414 with Prime Factorization
| 2 | 213, 404, 274, 621, 414 |
| 3 | 213, 202, 137, 621, 207 |
| 3 | 71, 202, 137, 69, 207 |
| 23 | 71, 202, 137, 23, 69 |
| 71, 202, 137, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 71 x 202 x 137 x 1 x 3 = 2440348668
Therefore, the lowest common multiple of 213,404,274,621,414 is 2440348668.
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.
213 x 404 x 274 x 621 x 414 = 6061826091312
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.
213 : 1, 3, 71, 213
404 : 1, 2, 4, 101, 202, 404
274 : 1, 2, 137, 274
621 : 1, 3, 9, 23, 27, 69, 207, 621
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,404,274,621,414, is 1.
Now, the common factors can be found like this.
213:3x 71
404:2x 2x 101
274:2x 137
621:3x 3x 3x 23
414:2x 3x 3x 23
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 3x 3x 3x 23 = 2484
Therefore, the value for common factors is 2484.
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 = 6061826091312/(1x2484)
LCM = 6061826091312/2484
LCM = 2440348668
Thus, we can understand that the LCM of 213,404,274,621,414 is 2440348668.
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FAQs on LCM of 213, 404, 274, 621, 414
1. What is the LCM of 213, 404, 274, 621, 414?
Answer: LCM of 213, 404, 274, 621, 414 is 2440348668.
2. How to calculate the LCM of 213, 404, 274, 621, 414?
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 213, 404, 274, 621, 414.
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}.