Find the LCM of 289, 528, 715, 563 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 289, 528, 715, 563. So, keep reading to learn more.
Given numbers are 289,528,715,563
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,528,715,563 is 5584104240.
Find LCM of 289,528,715,563 with Prime Factorization
11 | 289, 528, 715, 563 |
289, 48, 65, 563 |
Multiply the prime numbers at the bottom and the left side.
11 x 289 x 48 x 65 x 563 = 5584104240
Therefore, the lowest common multiple of 289,528,715,563 is 5584104240.
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.
289 x 528 x 715 x 563 = 61425146640
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.
289 : 1, 17, 289
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
715 : 1, 5, 11, 13, 55, 65, 143, 715
563 : 1, 563
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,528,715,563, is 1.
Now, the common factors can be found like this.
289:17x 17
528:2x 2x 2x 2x 3x 11
715:5x 11x 13
563:563
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 61425146640/(1x11)
LCM = 61425146640/11
LCM = 5584104240
Thus, we can understand that the LCM of 289,528,715,563 is 5584104240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 289, 528, 715, 563?
Answer: LCM of 289, 528, 715, 563 is 5584104240.
2. How to calculate the LCM of 289, 528, 715, 563?
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 289, 528, 715, 563.
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}.