LCM of 371, 330, 189, 836, 469
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 371, 330, 189, 836, 469 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 371, 330, 189, 836, 469. So, keep reading to learn more.
Given numbers are 371,330,189,836,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 371,330,189,836,469 is 2805361020.
Find LCM of 371,330,189,836,469 with Prime Factorization
| 2 | 371, 330, 189, 836, 469 |
| 3 | 371, 165, 189, 418, 469 |
| 7 | 371, 55, 63, 418, 469 |
| 11 | 53, 55, 9, 418, 67 |
| 53, 5, 9, 38, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 53 x 5 x 9 x 38 x 67 = 2805361020
Therefore, the lowest common multiple of 371,330,189,836,469 is 2805361020.
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.
371 x 330 x 189 x 836 x 469 = 9072537538680
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.
371 : 1, 7, 53, 371
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
189 : 1, 3, 7, 9, 21, 27, 63, 189
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 371,330,189,836,469, is 1.
Now, the common factors can be found like this.
371:7x 53
330:2x 3x 5x 11
189:3x 3x 3x 7
836:2x 2x 11x 19
469:7x 67
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 7x 7x 11 = 3234
Therefore, the value for common factors is 3234.
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 = 9072537538680/(1x3234)
LCM = 9072537538680/3234
LCM = 2805361020
Thus, we can understand that the LCM of 371,330,189,836,469 is 2805361020.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 371, 330, 189, 836, 469
1. What is the LCM of 371, 330, 189, 836, 469?
Answer: LCM of 371, 330, 189, 836, 469 is 2805361020.
2. How to calculate the LCM of 371, 330, 189, 836, 469?
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 371, 330, 189, 836, 469.
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}.