LCM of 253, 306, 382, 396, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 306, 382, 396, 867 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 253, 306, 382, 396, 867. So, keep reading to learn more.
Given numbers are 253,306,382,396,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,306,382,396,867 is 502752492.
Find LCM of 253,306,382,396,867 with Prime Factorization
| 2 | 253, 306, 382, 396, 867 |
| 3 | 253, 153, 191, 198, 867 |
| 3 | 253, 51, 191, 66, 289 |
| 11 | 253, 17, 191, 22, 289 |
| 17 | 23, 17, 191, 2, 289 |
| 23, 1, 191, 2, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 17 x 23 x 1 x 191 x 2 x 17 = 502752492
Therefore, the lowest common multiple of 253,306,382,396,867 is 502752492.
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.
253 x 306 x 382 x 396 x 867 = 10153589328432
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.
253 : 1, 11, 23, 253
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
382 : 1, 2, 191, 382
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,306,382,396,867, is 1.
Now, the common factors can be found like this.
253:11x 23
306:2x 3x 3x 17
382:2x 191
396:2x 2x 3x 3x 11
867:3x 17x 17
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 11x 17 = 20196
Therefore, the value for common factors is 20196.
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 = 10153589328432/(1x20196)
LCM = 10153589328432/20196
LCM = 502752492
Thus, we can understand that the LCM of 253,306,382,396,867 is 502752492.
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FAQs on LCM of 253, 306, 382, 396, 867
1. What is the LCM of 253, 306, 382, 396, 867?
Answer: LCM of 253, 306, 382, 396, 867 is 502752492.
2. How to calculate the LCM of 253, 306, 382, 396, 867?
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 253, 306, 382, 396, 867.
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}.