LCM of 363, 429, 627, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 429, 627, 459 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 363, 429, 627, 459. So, keep reading to learn more.
Given numbers are 363,429,627,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,429,627,459 is 13718133.
Find LCM of 363,429,627,459 with Prime Factorization
| 3 | 363, 429, 627, 459 |
| 11 | 121, 143, 209, 153 |
| 11, 13, 19, 153 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 11 x 13 x 19 x 153 = 13718133
Therefore, the lowest common multiple of 363,429,627,459 is 13718133.
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.
363 x 429 x 627 x 459 = 44817140511
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.
363 : 1, 3, 11, 33, 121, 363
429 : 1, 3, 11, 13, 33, 39, 143, 429
627 : 1, 3, 11, 19, 33, 57, 209, 627
459 : 1, 3, 9, 17, 27, 51, 153, 459
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,429,627,459, is 3.
Now, the common factors can be found like this.
363:3x 11x 11
429:3x 11x 13
627:3x 11x 19
459:3x 3x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 11 = 1089
Therefore, the value for common factors is 1089.
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 = 44817140511/(3x1089)
LCM = 44817140511/3267
LCM = 13718133
Thus, we can understand that the LCM of 363,429,627,459 is 13718133.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 363, 429, 627, 459
1. What is the LCM of 363, 429, 627, 459?
Answer: LCM of 363, 429, 627, 459 is 13718133.
2. How to calculate the LCM of 363, 429, 627, 459?
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 363, 429, 627, 459.
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}.