LCM of 447, 306, 867, 799
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 447, 306, 867, 799 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 447, 306, 867, 799. So, keep reading to learn more.
Given numbers are 447,306,867,799
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,306,867,799 is 36429606.
Find LCM of 447,306,867,799 with Prime Factorization
| 3 | 447, 306, 867, 799 |
| 17 | 149, 102, 289, 799 |
| 149, 6, 17, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 149 x 6 x 17 x 47 = 36429606
Therefore, the lowest common multiple of 447,306,867,799 is 36429606.
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.
447 x 306 x 867 x 799 = 94753405206
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.
447 : 1, 3, 149, 447
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
867 : 1, 3, 17, 51, 289, 867
799 : 1, 17, 47, 799
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,306,867,799, is 1.
Now, the common factors can be found like this.
447:3x 149
306:2x 3x 3x 17
867:3x 17x 17
799:17x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17x 17 = 2601
Therefore, the value for common factors is 2601.
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 = 94753405206/(1x2601)
LCM = 94753405206/2601
LCM = 36429606
Thus, we can understand that the LCM of 447,306,867,799 is 36429606.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 447, 306, 867, 799
1. What is the LCM of 447, 306, 867, 799?
Answer: LCM of 447, 306, 867, 799 is 36429606.
2. How to calculate the LCM of 447, 306, 867, 799?
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 447, 306, 867, 799.
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}.