LCM of 396, 429, 565, 675, 379
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 429, 565, 675, 379 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 396, 429, 565, 675, 379. So, keep reading to learn more.
Given numbers are 396,429,565,675,379
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,429,565,675,379 is 16535504700.
Find LCM of 396,429,565,675,379 with Prime Factorization
| 3 | 396, 429, 565, 675, 379 |
| 3 | 132, 143, 565, 225, 379 |
| 5 | 44, 143, 565, 75, 379 |
| 11 | 44, 143, 113, 15, 379 |
| 4, 13, 113, 15, 379 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 11 x 4 x 13 x 113 x 15 x 379 = 16535504700
Therefore, the lowest common multiple of 396,429,565,675,379 is 16535504700.
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.
396 x 429 x 565 x 675 x 379 = 24555224479500
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
429 : 1, 3, 11, 13, 33, 39, 143, 429
565 : 1, 5, 113, 565
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
379 : 1, 379
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,429,565,675,379, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
429:3x 11x 13
565:5x 113
675:3x 3x 3x 5x 5
379:379
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 3x 5x 11 = 1485
Therefore, the value for common factors is 1485.
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 = 24555224479500/(1x1485)
LCM = 24555224479500/1485
LCM = 16535504700
Thus, we can understand that the LCM of 396,429,565,675,379 is 16535504700.
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FAQs on LCM of 396, 429, 565, 675, 379
1. What is the LCM of 396, 429, 565, 675, 379?
Answer: LCM of 396, 429, 565, 675, 379 is 16535504700.
2. How to calculate the LCM of 396, 429, 565, 675, 379?
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 396, 429, 565, 675, 379.
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}.