Find the LCM of 487, 363, 418, 281, 825 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, 363, 418, 281, 825. So, keep reading to learn more.
Given numbers are 487,363,418,281,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,363,418,281,825 is 47191687950.
Find LCM of 487,363,418,281,825 with Prime Factorization
3 | 487, 363, 418, 281, 825 |
11 | 487, 121, 418, 281, 275 |
487, 11, 38, 281, 25 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 487 x 11 x 38 x 281 x 25 = 47191687950
Therefore, the lowest common multiple of 487,363,418,281,825 is 47191687950.
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 363 x 418 x 281 x 825 = 17130582725850
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
363 : 1, 3, 11, 33, 121, 363
418 : 1, 2, 11, 19, 22, 38, 209, 418
281 : 1, 281
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,363,418,281,825, is 1.
Now, the common factors can be found like this.
487:487
363:3x 11x 11
418:2x 11x 19
281:281
825:3x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 11 = 363
Therefore, the value for common factors is 363.
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 = 17130582725850/(1x363)
LCM = 17130582725850/363
LCM = 47191687950
Thus, we can understand that the LCM of 487,363,418,281,825 is 47191687950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 363, 418, 281, 825?
Answer: LCM of 487, 363, 418, 281, 825 is 47191687950.
2. How to calculate the LCM of 487, 363, 418, 281, 825?
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, 363, 418, 281, 825.
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}.