LCM of 405, 379, 550, 529, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 379, 550, 529, 450 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 405, 379, 550, 529, 450. So, keep reading to learn more.
Given numbers are 405,379,550,529,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,379,550,529,450 is 8931874050.
Find LCM of 405,379,550,529,450 with Prime Factorization
| 2 | 405, 379, 550, 529, 450 |
| 3 | 405, 379, 275, 529, 225 |
| 3 | 135, 379, 275, 529, 75 |
| 5 | 45, 379, 275, 529, 25 |
| 5 | 9, 379, 55, 529, 5 |
| 9, 379, 11, 529, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 9 x 379 x 11 x 529 x 1 = 8931874050
Therefore, the lowest common multiple of 405,379,550,529,450 is 8931874050.
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.
405 x 379 x 550 x 529 x 450 = 20096716612500
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
379 : 1, 379
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
529 : 1, 23, 529
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,379,550,529,450, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
379:379
550:2x 5x 5x 11
529:23x 23
450:2x 3x 3x 5x 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 5x 5x 5 = 2250
Therefore, the value for common factors is 2250.
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 = 20096716612500/(1x2250)
LCM = 20096716612500/2250
LCM = 8931874050
Thus, we can understand that the LCM of 405,379,550,529,450 is 8931874050.
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FAQs on LCM of 405, 379, 550, 529, 450
1. What is the LCM of 405, 379, 550, 529, 450?
Answer: LCM of 405, 379, 550, 529, 450 is 8931874050.
2. How to calculate the LCM of 405, 379, 550, 529, 450?
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 405, 379, 550, 529, 450.
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}.