LCM of 996, 105, 363, 858, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 996, 105, 363, 858, 504 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 996, 105, 363, 858, 504. So, keep reading to learn more.
Given numbers are 996,105,363,858,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 996,105,363,858,504 is 329008680.
Find LCM of 996,105,363,858,504 with Prime Factorization
| 2 | 996, 105, 363, 858, 504 |
| 2 | 498, 105, 363, 429, 252 |
| 3 | 249, 105, 363, 429, 126 |
| 7 | 83, 35, 121, 143, 42 |
| 11 | 83, 5, 121, 143, 6 |
| 83, 5, 11, 13, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 83 x 5 x 11 x 13 x 6 = 329008680
Therefore, the lowest common multiple of 996,105,363,858,504 is 329008680.
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.
996 x 105 x 363 x 858 x 504 = 16416217097280
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.
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
105 : 1, 3, 5, 7, 15, 21, 35, 105
363 : 1, 3, 11, 33, 121, 363
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,105,363,858,504, is 3.
Now, the common factors can be found like this.
996:2x 2x 3x 83
105:3x 5x 7
363:3x 11x 11
858:2x 3x 11x 13
504:2x 2x 2x 3x 3x 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 2x 3x 3x 3x 7x 11 = 16632
Therefore, the value for common factors is 16632.
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 = 16416217097280/(3x16632)
LCM = 16416217097280/49896
LCM = 329008680
Thus, we can understand that the LCM of 996,105,363,858,504 is 329008680.
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FAQs on LCM of 996, 105, 363, 858, 504
1. What is the LCM of 996, 105, 363, 858, 504?
Answer: LCM of 996, 105, 363, 858, 504 is 329008680.
2. How to calculate the LCM of 996, 105, 363, 858, 504?
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 996, 105, 363, 858, 504.
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}.