LCM of 247, 828, 414, 362, 404
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 828, 414, 362, 404 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 247, 828, 414, 362, 404. So, keep reading to learn more.
Given numbers are 247,828,414,362,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,828,414,362,404 is 3738756996.
Find LCM of 247,828,414,362,404 with Prime Factorization
| 2 | 247, 828, 414, 362, 404 |
| 2 | 247, 414, 207, 181, 202 |
| 3 | 247, 207, 207, 181, 101 |
| 3 | 247, 69, 69, 181, 101 |
| 23 | 247, 23, 23, 181, 101 |
| 247, 1, 1, 181, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 23 x 247 x 1 x 1 x 181 x 101 = 3738756996
Therefore, the lowest common multiple of 247,828,414,362,404 is 3738756996.
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.
247 x 828 x 414 x 362 x 404 = 12382763170752
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.
247 : 1, 13, 19, 247
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
362 : 1, 2, 181, 362
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,828,414,362,404, is 1.
Now, the common factors can be found like this.
247:13x 19
828:2x 2x 3x 3x 23
414:2x 3x 3x 23
362:2x 181
404:2x 2x 101
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 2x 2x 3x 3x 23 = 3312
Therefore, the value for common factors is 3312.
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 = 12382763170752/(1x3312)
LCM = 12382763170752/3312
LCM = 3738756996
Thus, we can understand that the LCM of 247,828,414,362,404 is 3738756996.
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FAQs on LCM of 247, 828, 414, 362, 404
1. What is the LCM of 247, 828, 414, 362, 404?
Answer: LCM of 247, 828, 414, 362, 404 is 3738756996.
2. How to calculate the LCM of 247, 828, 414, 362, 404?
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 247, 828, 414, 362, 404.
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}.