Find the LCM of 487, 361, 623, 738, 984 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 487, 361, 623, 738, 984. So, keep reading to learn more.
Given numbers are 487,361,623,738,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,361,623,738,984 is 323325950472.
Find LCM of 487,361,623,738,984 with Prime Factorization
2 | 487, 361, 623, 738, 984 |
3 | 487, 361, 623, 369, 492 |
41 | 487, 361, 623, 123, 164 |
487, 361, 623, 3, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 487 x 361 x 623 x 3 x 4 = 323325950472
Therefore, the lowest common multiple of 487,361,623,738,984 is 323325950472.
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.
487 x 361 x 623 x 738 x 984 = 79538183816112
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.
487 : 1, 487
361 : 1, 19, 361
623 : 1, 7, 89, 623
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,361,623,738,984, is 1.
Now, the common factors can be found like this.
487:487
361:19x 19
623:7x 89
738:2x 3x 3x 41
984:2x 2x 2x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 41 = 246
Therefore, the value for common factors is 246.
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 = 79538183816112/(1x246)
LCM = 79538183816112/246
LCM = 323325950472
Thus, we can understand that the LCM of 487,361,623,738,984 is 323325950472.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 361, 623, 738, 984?
Answer: LCM of 487, 361, 623, 738, 984 is 323325950472.
2. How to calculate the LCM of 487, 361, 623, 738, 984?
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 487, 361, 623, 738, 984.
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}.