Find the LCM of 487, 654, 914, 352, 396 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, 654, 914, 352, 396. So, keep reading to learn more.
Given numbers are 487,654,914,352,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,654,914,352,396 is 76852293408.
Find LCM of 487,654,914,352,396 with Prime Factorization
2 | 487, 654, 914, 352, 396 |
2 | 487, 327, 457, 176, 198 |
3 | 487, 327, 457, 88, 99 |
11 | 487, 109, 457, 88, 33 |
487, 109, 457, 8, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 487 x 109 x 457 x 8 x 3 = 76852293408
Therefore, the lowest common multiple of 487,654,914,352,396 is 76852293408.
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 654 x 914 x 352 x 396 = 40578010919424
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
654 : 1, 2, 3, 6, 109, 218, 327, 654
914 : 1, 2, 457, 914
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,654,914,352,396, is 1.
Now, the common factors can be found like this.
487:487
654:2x 3x 109
914:2x 457
352:2x 2x 2x 2x 2x 11
396:2x 2x 3x 3x 11
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 11 = 528
Therefore, the value for common factors is 528.
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 = 40578010919424/(1x528)
LCM = 40578010919424/528
LCM = 76852293408
Thus, we can understand that the LCM of 487,654,914,352,396 is 76852293408.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 654, 914, 352, 396?
Answer: LCM of 487, 654, 914, 352, 396 is 76852293408.
2. How to calculate the LCM of 487, 654, 914, 352, 396?
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, 654, 914, 352, 396.
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}.