Find the LCM of 812, 900, 973, 945, 453 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 812, 900, 973, 945, 453. So, keep reading to learn more.
Given numbers are 812,900,973,945,453
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,900,973,945,453 is 11504070900.
Find LCM of 812,900,973,945,453 with Prime Factorization
2 | 812, 900, 973, 945, 453 |
2 | 406, 450, 973, 945, 453 |
3 | 203, 225, 973, 945, 453 |
3 | 203, 75, 973, 315, 151 |
5 | 203, 25, 973, 105, 151 |
7 | 203, 5, 973, 21, 151 |
29, 5, 139, 3, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 29 x 5 x 139 x 3 x 151 = 11504070900
Therefore, the lowest common multiple of 812,900,973,945,453 is 11504070900.
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.
812 x 900 x 973 x 945 x 453 = 304397716014000
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
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
973 : 1, 7, 139, 973
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
453 : 1, 3, 151, 453
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,900,973,945,453, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
900:2x 2x 3x 3x 5x 5
973:7x 139
945:3x 3x 3x 5x 7
453:3x 151
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 3x 3x 3x 5x 7x 7 = 26460
Therefore, the value for common factors is 26460.
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 = 304397716014000/(1x26460)
LCM = 304397716014000/26460
LCM = 11504070900
Thus, we can understand that the LCM of 812,900,973,945,453 is 11504070900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 812, 900, 973, 945, 453?
Answer: LCM of 812, 900, 973, 945, 453 is 11504070900.
2. How to calculate the LCM of 812, 900, 973, 945, 453?
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 812, 900, 973, 945, 453.
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}.