Find the LCM of 452, 361, 422, 918, 487 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 452, 361, 422, 918, 487. So, keep reading to learn more.
Given numbers are 452,361,422,918,487
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,361,422,918,487 is 7696082928636.
Find LCM of 452,361,422,918,487 with Prime Factorization
2 | 452, 361, 422, 918, 487 |
226, 361, 211, 459, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 226 x 361 x 211 x 459 x 487 = 7696082928636
Therefore, the lowest common multiple of 452,361,422,918,487 is 7696082928636.
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.
452 x 361 x 422 x 918 x 487 = 30784331714544
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.
452 : 1, 2, 4, 113, 226, 452
361 : 1, 19, 361
422 : 1, 2, 211, 422
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
487 : 1, 487
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,361,422,918,487, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
361:19x 19
422:2x 211
918:2x 3x 3x 3x 17
487:487
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 30784331714544/(1x4)
LCM = 30784331714544/4
LCM = 7696082928636
Thus, we can understand that the LCM of 452,361,422,918,487 is 7696082928636.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 452, 361, 422, 918, 487?
Answer: LCM of 452, 361, 422, 918, 487 is 7696082928636.
2. How to calculate the LCM of 452, 361, 422, 918, 487?
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 452, 361, 422, 918, 487.
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}.