Find the LCM of 512, 487, 303, 532, 561 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 512, 487, 303, 532, 561. So, keep reading to learn more.
Given numbers are 512,487,303,532,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,487,303,532,561 is 1879034691072.
Find LCM of 512,487,303,532,561 with Prime Factorization
2 | 512, 487, 303, 532, 561 |
2 | 256, 487, 303, 266, 561 |
3 | 128, 487, 303, 133, 561 |
128, 487, 101, 133, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 128 x 487 x 101 x 133 x 187 = 1879034691072
Therefore, the lowest common multiple of 512,487,303,532,561 is 1879034691072.
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.
512 x 487 x 303 x 532 x 561 = 22548416292864
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.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
487 : 1, 487
303 : 1, 3, 101, 303
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,487,303,532,561, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
487:487
303:3x 101
532:2x 2x 7x 19
561:3x 11x 17
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 3 = 12
Therefore, the value for common factors is 12.
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 = 22548416292864/(1x12)
LCM = 22548416292864/12
LCM = 1879034691072
Thus, we can understand that the LCM of 512,487,303,532,561 is 1879034691072.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 512, 487, 303, 532, 561?
Answer: LCM of 512, 487, 303, 532, 561 is 1879034691072.
2. How to calculate the LCM of 512, 487, 303, 532, 561?
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 512, 487, 303, 532, 561.
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}.