LCM of 444, 105, 270, 831
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 444, 105, 270, 831 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 444, 105, 270, 831. So, keep reading to learn more.
Given numbers are 444,105,270,831
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 444,105,270,831 is 38741220.
Find LCM of 444,105,270,831 with Prime Factorization
| 2 | 444, 105, 270, 831 |
| 3 | 222, 105, 135, 831 |
| 5 | 74, 35, 45, 277 |
| 74, 7, 9, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 74 x 7 x 9 x 277 = 38741220
Therefore, the lowest common multiple of 444,105,270,831 is 38741220.
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.
444 x 105 x 270 x 831 = 10460129400
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.
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
105 : 1, 3, 5, 7, 15, 21, 35, 105
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
831 : 1, 3, 277, 831
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,105,270,831, is 3.
Now, the common factors can be found like this.
444:2x 2x 3x 37
105:3x 5x 7
270:2x 3x 3x 3x 5
831:3x 277
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 5 = 90
Therefore, the value for common factors is 90.
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 = 10460129400/(3x90)
LCM = 10460129400/270
LCM = 38741220
Thus, we can understand that the LCM of 444,105,270,831 is 38741220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 444, 105, 270, 831
1. What is the LCM of 444, 105, 270, 831?
Answer: LCM of 444, 105, 270, 831 is 38741220.
2. How to calculate the LCM of 444, 105, 270, 831?
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 444, 105, 270, 831.
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}.