LCM of 990, 270, 900, 675, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 990, 270, 900, 675, 412 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 990, 270, 900, 675, 412. So, keep reading to learn more.
Given numbers are 990,270,900,675,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 990,270,900,675,412 is 3059100.
Find LCM of 990,270,900,675,412 with Prime Factorization
| 2 | 990, 270, 900, 675, 412 |
| 2 | 495, 135, 450, 675, 206 |
| 3 | 495, 135, 225, 675, 103 |
| 3 | 165, 45, 75, 225, 103 |
| 3 | 55, 15, 25, 75, 103 |
| 5 | 55, 5, 25, 25, 103 |
| 5 | 11, 1, 5, 5, 103 |
| 11, 1, 1, 1, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 5 x 11 x 1 x 1 x 1 x 103 = 3059100
Therefore, the lowest common multiple of 990,270,900,675,412 is 3059100.
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.
990 x 270 x 900 x 675 x 412 = 66902517000000
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.
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
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,270,900,675,412, is 1.
Now, the common factors can be found like this.
990:2x 3x 3x 5x 11
270:2x 3x 3x 3x 5
900:2x 2x 3x 3x 5x 5
675:3x 3x 3x 5x 5
412:2x 2x 103
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 2x 3x 3x 3x 3x 3x 3x 3x 5x 5x 5x 5 = 21870000
Therefore, the value for common factors is 21870000.
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 = 66902517000000/(1x21870000)
LCM = 66902517000000/21870000
LCM = 3059100
Thus, we can understand that the LCM of 990,270,900,675,412 is 3059100.
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FAQs on LCM of 990, 270, 900, 675, 412
1. What is the LCM of 990, 270, 900, 675, 412?
Answer: LCM of 990, 270, 900, 675, 412 is 3059100.
2. How to calculate the LCM of 990, 270, 900, 675, 412?
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 990, 270, 900, 675, 412.
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}.