LCM of 828, 403, 247, 738, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 403, 247, 738, 874 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 828, 403, 247, 738, 874. So, keep reading to learn more.
Given numbers are 828,403,247,738,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,403,247,738,874 is 259939836.
Find LCM of 828,403,247,738,874 with Prime Factorization
| 2 | 828, 403, 247, 738, 874 |
| 3 | 414, 403, 247, 369, 437 |
| 3 | 138, 403, 247, 123, 437 |
| 13 | 46, 403, 247, 41, 437 |
| 19 | 46, 31, 19, 41, 437 |
| 23 | 46, 31, 1, 41, 23 |
| 2, 31, 1, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 19 x 23 x 2 x 31 x 1 x 41 x 1 = 259939836
Therefore, the lowest common multiple of 828,403,247,738,874 is 259939836.
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.
828 x 403 x 247 x 738 x 874 = 53161855499376
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
403 : 1, 13, 31, 403
247 : 1, 13, 19, 247
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,403,247,738,874, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
403:13x 31
247:13x 19
738:2x 3x 3x 41
874:2x 19x 23
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 13x 19x 23 = 204516
Therefore, the value for common factors is 204516.
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 = 53161855499376/(1x204516)
LCM = 53161855499376/204516
LCM = 259939836
Thus, we can understand that the LCM of 828,403,247,738,874 is 259939836.
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FAQs on LCM of 828, 403, 247, 738, 874
1. What is the LCM of 828, 403, 247, 738, 874?
Answer: LCM of 828, 403, 247, 738, 874 is 259939836.
2. How to calculate the LCM of 828, 403, 247, 738, 874?
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 828, 403, 247, 738, 874.
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}.