LCM of 229, 494, 174, 522, 377
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 229, 494, 174, 522, 377 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 229, 494, 174, 522, 377. So, keep reading to learn more.
Given numbers are 229,494,174,522,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,494,174,522,377 is 29525886.
Find LCM of 229,494,174,522,377 with Prime Factorization
| 2 | 229, 494, 174, 522, 377 |
| 3 | 229, 247, 87, 261, 377 |
| 13 | 229, 247, 29, 87, 377 |
| 29 | 229, 19, 29, 87, 29 |
| 229, 19, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 29 x 229 x 19 x 1 x 3 x 1 = 29525886
Therefore, the lowest common multiple of 229,494,174,522,377 is 29525886.
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.
229 x 494 x 174 x 522 x 377 = 3873678139656
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.
229 : 1, 229
494 : 1, 2, 13, 19, 26, 38, 247, 494
174 : 1, 2, 3, 6, 29, 58, 87, 174
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,494,174,522,377, is 1.
Now, the common factors can be found like this.
229:229
494:2x 13x 19
174:2x 3x 29
522:2x 3x 3x 29
377:13x 29
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 3x 13x 29x 29 = 131196
Therefore, the value for common factors is 131196.
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 = 3873678139656/(1x131196)
LCM = 3873678139656/131196
LCM = 29525886
Thus, we can understand that the LCM of 229,494,174,522,377 is 29525886.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 229, 494, 174, 522, 377
1. What is the LCM of 229, 494, 174, 522, 377?
Answer: LCM of 229, 494, 174, 522, 377 is 29525886.
2. How to calculate the LCM of 229, 494, 174, 522, 377?
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 229, 494, 174, 522, 377.
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}.