Find the LCM of 773, 715, 575, 825 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 773, 715, 575, 825. So, keep reading to learn more.
Given numbers are 773,715,575,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,715,575,825 is 190679775.
Find LCM of 773,715,575,825 with Prime Factorization
5 | 773, 715, 575, 825 |
5 | 773, 143, 115, 165 |
11 | 773, 143, 23, 33 |
773, 13, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 11 x 773 x 13 x 23 x 3 = 190679775
Therefore, the lowest common multiple of 773,715,575,825 is 190679775.
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.
773 x 715 x 575 x 825 = 262184690625
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.
773 : 1, 773
715 : 1, 5, 11, 13, 55, 65, 143, 715
575 : 1, 5, 23, 25, 115, 575
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,715,575,825, is 1.
Now, the common factors can be found like this.
773:773
715:5x 11x 13
575:5x 5x 23
825:3x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5x 11 = 1375
Therefore, the value for common factors is 1375.
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 = 262184690625/(1x1375)
LCM = 262184690625/1375
LCM = 190679775
Thus, we can understand that the LCM of 773,715,575,825 is 190679775.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 773, 715, 575, 825?
Answer: LCM of 773, 715, 575, 825 is 190679775.
2. How to calculate the LCM of 773, 715, 575, 825?
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 773, 715, 575, 825.
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}.