LCM of 828, 704, 847, 319, 339
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 704, 847, 319, 339 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, 704, 847, 319, 339. So, keep reading to learn more.
Given numbers are 828,704,847,319,339
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,704,847,319,339 is 36771400512.
Find LCM of 828,704,847,319,339 with Prime Factorization
| 2 | 828, 704, 847, 319, 339 |
| 2 | 414, 352, 847, 319, 339 |
| 3 | 207, 176, 847, 319, 339 |
| 11 | 69, 176, 847, 319, 113 |
| 69, 16, 77, 29, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 69 x 16 x 77 x 29 x 113 = 36771400512
Therefore, the lowest common multiple of 828,704,847,319,339 is 36771400512.
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 704 x 847 x 319 x 339 = 53392073543424
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
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
847 : 1, 7, 11, 77, 121, 847
319 : 1, 11, 29, 319
339 : 1, 3, 113, 339
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,704,847,319,339, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
704:2x 2x 2x 2x 2x 2x 11
847:7x 11x 11
319:11x 29
339:3x 113
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 11x 11 = 1452
Therefore, the value for common factors is 1452.
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 = 53392073543424/(1x1452)
LCM = 53392073543424/1452
LCM = 36771400512
Thus, we can understand that the LCM of 828,704,847,319,339 is 36771400512.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 828, 704, 847, 319, 339
1. What is the LCM of 828, 704, 847, 319, 339?
Answer: LCM of 828, 704, 847, 319, 339 is 36771400512.
2. How to calculate the LCM of 828, 704, 847, 319, 339?
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, 704, 847, 319, 339.
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}.