Find the LCM of 270, 380, 345, 900 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 270, 380, 345, 900. So, keep reading to learn more.
Given numbers are 270,380,345,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 270,380,345,900 is 1179900.
Find LCM of 270,380,345,900 with Prime Factorization
2 | 270, 380, 345, 900 |
2 | 135, 190, 345, 450 |
3 | 135, 95, 345, 225 |
3 | 45, 95, 115, 75 |
5 | 15, 95, 115, 25 |
3, 19, 23, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 3 x 19 x 23 x 5 = 1179900
Therefore, the lowest common multiple of 270,380,345,900 is 1179900.
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.
270 x 380 x 345 x 900 = 31857300000
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.
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
345 : 1, 3, 5, 15, 23, 69, 115, 345
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
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,380,345,900, is 5.
Now, the common factors can be found like this.
270:2x 3x 3x 3x 5
380:2x 2x 5x 19
345:3x 5x 23
900:2x 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 2x 2x 3x 3x 3x 5x 5 = 5400
Therefore, the value for common factors is 5400.
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 = 31857300000/(5x5400)
LCM = 31857300000/27000
LCM = 1179900
Thus, we can understand that the LCM of 270,380,345,900 is 1179900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 270, 380, 345, 900?
Answer: LCM of 270, 380, 345, 900 is 1179900.
2. How to calculate the LCM of 270, 380, 345, 900?
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 270, 380, 345, 900.
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}.