Find the LCM of 563, 537, 519, 208, 240 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 563, 537, 519, 208, 240. So, keep reading to learn more.
Given numbers are 563,537,519,208,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,537,519,208,240 is 54395393520.
Find LCM of 563,537,519,208,240 with Prime Factorization
2 | 563, 537, 519, 208, 240 |
2 | 563, 537, 519, 104, 120 |
2 | 563, 537, 519, 52, 60 |
2 | 563, 537, 519, 26, 30 |
3 | 563, 537, 519, 13, 15 |
563, 179, 173, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 563 x 179 x 173 x 13 x 5 = 54395393520
Therefore, the lowest common multiple of 563,537,519,208,240 is 54395393520.
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.
563 x 537 x 519 x 208 x 240 = 7832936666880
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.
563 : 1, 563
537 : 1, 3, 179, 537
519 : 1, 3, 173, 519
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,537,519,208,240, is 1.
Now, the common factors can be found like this.
563:563
537:3x 179
519:3x 173
208:2x 2x 2x 2x 13
240:2x 2x 2x 2x 3x 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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 7832936666880/(1x144)
LCM = 7832936666880/144
LCM = 54395393520
Thus, we can understand that the LCM of 563,537,519,208,240 is 54395393520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 563, 537, 519, 208, 240?
Answer: LCM of 563, 537, 519, 208, 240 is 54395393520.
2. How to calculate the LCM of 563, 537, 519, 208, 240?
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 563, 537, 519, 208, 240.
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}.