LCM of 239, 663, 867, 399, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 239, 663, 867, 399, 459 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 239, 663, 867, 399, 459. So, keep reading to learn more.
Given numbers are 239,663,867,399,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 239,663,867,399,459 is 3224441493.
Find LCM of 239,663,867,399,459 with Prime Factorization
| 3 | 239, 663, 867, 399, 459 |
| 17 | 239, 221, 289, 133, 153 |
| 239, 13, 17, 133, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 239 x 13 x 17 x 133 x 9 = 3224441493
Therefore, the lowest common multiple of 239,663,867,399,459 is 3224441493.
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.
239 x 663 x 867 x 399 x 459 = 25160316969879
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.
239 : 1, 239
663 : 1, 3, 13, 17, 39, 51, 221, 663
867 : 1, 3, 17, 51, 289, 867
399 : 1, 3, 7, 19, 21, 57, 133, 399
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,663,867,399,459, is 1.
Now, the common factors can be found like this.
239:239
663:3x 13x 17
867:3x 17x 17
399:3x 7x 19
459:3x 3x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 17x 17 = 7803
Therefore, the value for common factors is 7803.
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 = 25160316969879/(1x7803)
LCM = 25160316969879/7803
LCM = 3224441493
Thus, we can understand that the LCM of 239,663,867,399,459 is 3224441493.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 239, 663, 867, 399, 459
1. What is the LCM of 239, 663, 867, 399, 459?
Answer: LCM of 239, 663, 867, 399, 459 is 3224441493.
2. How to calculate the LCM of 239, 663, 867, 399, 459?
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 239, 663, 867, 399, 459.
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}.