LCM of 799, 901, 441, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 901, 441, 847 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 799, 901, 441, 847. So, keep reading to learn more.
Given numbers are 799,901,441,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,901,441,847 is 2259678267.
Find LCM of 799,901,441,847 with Prime Factorization
| 7 | 799, 901, 441, 847 |
| 17 | 799, 901, 63, 121 |
| 47, 53, 63, 121 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 47 x 53 x 63 x 121 = 2259678267
Therefore, the lowest common multiple of 799,901,441,847 is 2259678267.
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.
799 x 901 x 441 x 847 = 268901713773
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.
799 : 1, 17, 47, 799
901 : 1, 17, 53, 901
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,901,441,847, is 1.
Now, the common factors can be found like this.
799:17x 47
901:17x 53
441:3x 3x 7x 7
847:7x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17 = 119
Therefore, the value for common factors is 119.
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 = 268901713773/(1x119)
LCM = 268901713773/119
LCM = 2259678267
Thus, we can understand that the LCM of 799,901,441,847 is 2259678267.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 799, 901, 441, 847
1. What is the LCM of 799, 901, 441, 847?
Answer: LCM of 799, 901, 441, 847 is 2259678267.
2. How to calculate the LCM of 799, 901, 441, 847?
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 799, 901, 441, 847.
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}.