LCM of 866, 243, 853, 633, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 866, 243, 853, 633, 312 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 866, 243, 853, 633, 312. So, keep reading to learn more.
Given numbers are 866,243,853,633,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,243,853,633,312 is 1969513652808.
Find LCM of 866,243,853,633,312 with Prime Factorization
| 2 | 866, 243, 853, 633, 312 |
| 3 | 433, 243, 853, 633, 156 |
| 433, 81, 853, 211, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 433 x 81 x 853 x 211 x 52 = 1969513652808
Therefore, the lowest common multiple of 866,243,853,633,312 is 1969513652808.
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.
866 x 243 x 853 x 633 x 312 = 35451245750544
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.
866 : 1, 2, 433, 866
243 : 1, 3, 9, 27, 81, 243
853 : 1, 853
633 : 1, 3, 211, 633
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,243,853,633,312, is 1.
Now, the common factors can be found like this.
866:2x 433
243:3x 3x 3x 3x 3
853:853
633:3x 211
312:2x 2x 2x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 35451245750544/(1x18)
LCM = 35451245750544/18
LCM = 1969513652808
Thus, we can understand that the LCM of 866,243,853,633,312 is 1969513652808.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 866, 243, 853, 633, 312
1. What is the LCM of 866, 243, 853, 633, 312?
Answer: LCM of 866, 243, 853, 633, 312 is 1969513652808.
2. How to calculate the LCM of 866, 243, 853, 633, 312?
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 866, 243, 853, 633, 312.
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}.