LCM of 111, 147, 816, 323, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 111, 147, 816, 323, 849 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 111, 147, 816, 323, 849. So, keep reading to learn more.
Given numbers are 111,147,816,323,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 111,147,816,323,849 is 7954776816.
Find LCM of 111,147,816,323,849 with Prime Factorization
| 3 | 111, 147, 816, 323, 849 |
| 17 | 37, 49, 272, 323, 283 |
| 37, 49, 16, 19, 283 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 37 x 49 x 16 x 19 x 283 = 7954776816
Therefore, the lowest common multiple of 111,147,816,323,849 is 7954776816.
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.
111 x 147 x 816 x 323 x 849 = 3651242558544
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.
111 : 1, 3, 37, 111
147 : 1, 3, 7, 21, 49, 147
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
323 : 1, 17, 19, 323
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,147,816,323,849, is 1.
Now, the common factors can be found like this.
111:3x 37
147:3x 7x 7
816:2x 2x 2x 2x 3x 17
323:17x 19
849:3x 283
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 3x 17 = 459
Therefore, the value for common factors is 459.
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 = 3651242558544/(1x459)
LCM = 3651242558544/459
LCM = 7954776816
Thus, we can understand that the LCM of 111,147,816,323,849 is 7954776816.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 111, 147, 816, 323, 849
1. What is the LCM of 111, 147, 816, 323, 849?
Answer: LCM of 111, 147, 816, 323, 849 is 7954776816.
2. How to calculate the LCM of 111, 147, 816, 323, 849?
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 111, 147, 816, 323, 849.
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}.