Find the LCM of 825, 453, 525, 675, 897 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 825, 453, 525, 675, 897. So, keep reading to learn more.
Given numbers are 825,453,525,675,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,453,525,675,897 is 2346619275.
Find LCM of 825,453,525,675,897 with Prime Factorization
3 | 825, 453, 525, 675, 897 |
5 | 275, 151, 175, 225, 299 |
5 | 55, 151, 35, 45, 299 |
11, 151, 7, 9, 299 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 11 x 151 x 7 x 9 x 299 = 2346619275
Therefore, the lowest common multiple of 825,453,525,675,897 is 2346619275.
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.
825 x 453 x 525 x 675 x 897 = 118797600796875
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
453 : 1, 3, 151, 453
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
897 : 1, 3, 13, 23, 39, 69, 299, 897
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,453,525,675,897, is 3.
Now, the common factors can be found like this.
825:3x 5x 5x 11
453:3x 151
525:3x 5x 5x 7
675:3x 3x 3x 5x 5
897:3x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 5x 5x 5 = 16875
Therefore, the value for common factors is 16875.
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 = 118797600796875/(3x16875)
LCM = 118797600796875/50625
LCM = 2346619275
Thus, we can understand that the LCM of 825,453,525,675,897 is 2346619275.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 825, 453, 525, 675, 897?
Answer: LCM of 825, 453, 525, 675, 897 is 2346619275.
2. How to calculate the LCM of 825, 453, 525, 675, 897?
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 825, 453, 525, 675, 897.
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}.