LCM of 165, 450, 554, 576, 250
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 450, 554, 576, 250 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 165, 450, 554, 576, 250. So, keep reading to learn more.
Given numbers are 165,450,554,576,250
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,450,554,576,250 is 219384000.
Find LCM of 165,450,554,576,250 with Prime Factorization
| 2 | 165, 450, 554, 576, 250 |
| 3 | 165, 225, 277, 288, 125 |
| 3 | 55, 75, 277, 96, 125 |
| 5 | 55, 25, 277, 32, 125 |
| 5 | 11, 5, 277, 32, 25 |
| 11, 1, 277, 32, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 11 x 1 x 277 x 32 x 5 = 219384000
Therefore, the lowest common multiple of 165,450,554,576,250 is 219384000.
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.
165 x 450 x 554 x 576 x 250 = 5923368000000
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
554 : 1, 2, 277, 554
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
250 : 1, 2, 5, 10, 25, 50, 125, 250
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,450,554,576,250, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
450:2x 3x 3x 5x 5
554:2x 277
576:2x 2x 2x 2x 2x 2x 3x 3
250:2x 5x 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 2x 2x 3x 3x 3x 5x 5x 5 = 27000
Therefore, the value for common factors is 27000.
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 = 5923368000000/(1x27000)
LCM = 5923368000000/27000
LCM = 219384000
Thus, we can understand that the LCM of 165,450,554,576,250 is 219384000.
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FAQs on LCM of 165, 450, 554, 576, 250
1. What is the LCM of 165, 450, 554, 576, 250?
Answer: LCM of 165, 450, 554, 576, 250 is 219384000.
2. How to calculate the LCM of 165, 450, 554, 576, 250?
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 165, 450, 554, 576, 250.
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}.