LCM of 814, 473, 162, 226
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 473, 162, 226 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 814, 473, 162, 226. So, keep reading to learn more.
Given numbers are 814,473,162,226
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,473,162,226 is 320373306.
Find LCM of 814,473,162,226 with Prime Factorization
| 2 | 814, 473, 162, 226 |
| 11 | 407, 473, 81, 113 |
| 37, 43, 81, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 37 x 43 x 81 x 113 = 320373306
Therefore, the lowest common multiple of 814,473,162,226 is 320373306.
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.
814 x 473 x 162 x 226 = 14096425464
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
473 : 1, 11, 43, 473
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
226 : 1, 2, 113, 226
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,473,162,226, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
473:11x 43
162:2x 3x 3x 3x 3
226:2x 113
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 11 = 44
Therefore, the value for common factors is 44.
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 = 14096425464/(1x44)
LCM = 14096425464/44
LCM = 320373306
Thus, we can understand that the LCM of 814,473,162,226 is 320373306.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 473, 162, 226
1. What is the LCM of 814, 473, 162, 226?
Answer: LCM of 814, 473, 162, 226 is 320373306.
2. How to calculate the LCM of 814, 473, 162, 226?
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 814, 473, 162, 226.
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}.