LCM of 288, 302, 869, 765, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 288, 302, 869, 765, 513 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 288, 302, 869, 765, 513. So, keep reading to learn more.
Given numbers are 288,302,869,765,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,302,869,765,513 is 183097743840.
Find LCM of 288,302,869,765,513 with Prime Factorization
| 2 | 288, 302, 869, 765, 513 |
| 3 | 144, 151, 869, 765, 513 |
| 3 | 48, 151, 869, 255, 171 |
| 16, 151, 869, 85, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 16 x 151 x 869 x 85 x 57 = 183097743840
Therefore, the lowest common multiple of 288,302,869,765,513 is 183097743840.
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.
288 x 302 x 869 x 765 x 513 = 29661834502080
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
302 : 1, 2, 151, 302
869 : 1, 11, 79, 869
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,302,869,765,513, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
302:2x 151
869:11x 79
765:3x 3x 5x 17
513:3x 3x 3x 19
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 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 29661834502080/(1x162)
LCM = 29661834502080/162
LCM = 183097743840
Thus, we can understand that the LCM of 288,302,869,765,513 is 183097743840.
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FAQs on LCM of 288, 302, 869, 765, 513
1. What is the LCM of 288, 302, 869, 765, 513?
Answer: LCM of 288, 302, 869, 765, 513 is 183097743840.
2. How to calculate the LCM of 288, 302, 869, 765, 513?
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 288, 302, 869, 765, 513.
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}.