LCM of 665, 252, 546, 399, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 665, 252, 546, 399, 405 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 665, 252, 546, 399, 405. So, keep reading to learn more.
Given numbers are 665,252,546,399,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 665,252,546,399,405 is 2800980.
Find LCM of 665,252,546,399,405 with Prime Factorization
| 2 | 665, 252, 546, 399, 405 |
| 3 | 665, 126, 273, 399, 405 |
| 3 | 665, 42, 91, 133, 135 |
| 5 | 665, 14, 91, 133, 45 |
| 7 | 133, 14, 91, 133, 9 |
| 19 | 19, 2, 13, 19, 9 |
| 1, 2, 13, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 19 x 1 x 2 x 13 x 1 x 9 = 2800980
Therefore, the lowest common multiple of 665,252,546,399,405 is 2800980.
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.
665 x 252 x 546 x 399 x 405 = 14785729194600
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.
665 : 1, 5, 7, 19, 35, 95, 133, 665
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
399 : 1, 3, 7, 19, 21, 57, 133, 399
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,252,546,399,405, is 1.
Now, the common factors can be found like this.
665:5x 7x 19
252:2x 2x 3x 3x 7
546:2x 3x 7x 13
399:3x 7x 19
405:3x 3x 3x 3x 5
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 3x 3x 3x 5x 7x 7x 7x 19 = 5278770
Therefore, the value for common factors is 5278770.
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 = 14785729194600/(1x5278770)
LCM = 14785729194600/5278770
LCM = 2800980
Thus, we can understand that the LCM of 665,252,546,399,405 is 2800980.
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FAQs on LCM of 665, 252, 546, 399, 405
1. What is the LCM of 665, 252, 546, 399, 405?
Answer: LCM of 665, 252, 546, 399, 405 is 2800980.
2. How to calculate the LCM of 665, 252, 546, 399, 405?
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 665, 252, 546, 399, 405.
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}.