LCM of 572, 990, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 990, 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 572, 990, 450. So, keep reading to learn more.
Given numbers are 572,990,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,990,450 is 128700.
Find LCM of 572,990,450 with Prime Factorization
| 2 | 572, 990, 450 |
| 3 | 286, 495, 225 |
| 3 | 286, 165, 75 |
| 5 | 286, 55, 25 |
| 11 | 286, 11, 5 |
| 26, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 26 x 1 x 5 = 128700
Therefore, the lowest common multiple of 572,990,450 is 128700.
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.
572 x 990 x 450 = 254826000
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,990,450, is 2.
Now, the common factors can be found like this.
572:2x 2x 11x 13
990:2x 3x 3x 5x 11
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 11 = 990
Therefore, the value for common factors is 990.
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 = 254826000/(2x990)
LCM = 254826000/1980
LCM = 128700
Thus, we can understand that the LCM of 572,990,450 is 128700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 572, 990, 450
1. What is the LCM of 572, 990, 450?
Answer: LCM of 572, 990, 450 is 128700.
2. How to calculate the LCM of 572, 990, 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 572, 990, 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}.