LCM of 866, 222, 458, 898, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 866, 222, 458, 898, 148 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, 222, 458, 898, 148. So, keep reading to learn more.
Given numbers are 866,222,458,898,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,222,458,898,148 is 19767542892.
Find LCM of 866,222,458,898,148 with Prime Factorization
| 2 | 866, 222, 458, 898, 148 |
| 37 | 433, 111, 229, 449, 74 |
| 433, 3, 229, 449, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 433 x 3 x 229 x 449 x 2 = 19767542892
Therefore, the lowest common multiple of 866,222,458,898,148 is 19767542892.
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 222 x 458 x 898 x 148 = 11702385392064
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
222 : 1, 2, 3, 6, 37, 74, 111, 222
458 : 1, 2, 229, 458
898 : 1, 2, 449, 898
148 : 1, 2, 4, 37, 74, 148
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,222,458,898,148, is 2.
Now, the common factors can be found like this.
866:2x 433
222:2x 3x 37
458:2x 229
898:2x 449
148:2x 2x 37
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 37 = 296
Therefore, the value for common factors is 296.
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 = 11702385392064/(2x296)
LCM = 11702385392064/592
LCM = 19767542892
Thus, we can understand that the LCM of 866,222,458,898,148 is 19767542892.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 866, 222, 458, 898, 148
1. What is the LCM of 866, 222, 458, 898, 148?
Answer: LCM of 866, 222, 458, 898, 148 is 19767542892.
2. How to calculate the LCM of 866, 222, 458, 898, 148?
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, 222, 458, 898, 148.
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}.