LCM of 288, 498, 514, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 288, 498, 514, 882 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, 498, 514, 882. So, keep reading to learn more.
Given numbers are 288,498,514,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,498,514,882 is 301023072.
Find LCM of 288,498,514,882 with Prime Factorization
| 2 | 288, 498, 514, 882 |
| 3 | 144, 249, 257, 441 |
| 3 | 48, 83, 257, 147 |
| 16, 83, 257, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 16 x 83 x 257 x 49 = 301023072
Therefore, the lowest common multiple of 288,498,514,882 is 301023072.
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 498 x 514 x 882 = 65020983552
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
498 : 1, 2, 3, 6, 83, 166, 249, 498
514 : 1, 2, 257, 514
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,498,514,882, is 2.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
498:2x 3x 83
514:2x 257
882:2x 3x 3x 7x 7
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 3 = 108
Therefore, the value for common factors is 108.
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 = 65020983552/(2x108)
LCM = 65020983552/216
LCM = 301023072
Thus, we can understand that the LCM of 288,498,514,882 is 301023072.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 288, 498, 514, 882
1. What is the LCM of 288, 498, 514, 882?
Answer: LCM of 288, 498, 514, 882 is 301023072.
2. How to calculate the LCM of 288, 498, 514, 882?
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, 498, 514, 882.
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}.