Find the LCM of 485, 460, 271, 965, 209 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 485, 460, 271, 965, 209. So, keep reading to learn more.
Given numbers are 485,460,271,965,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 485,460,271,965,209 is 487755810740.
Find LCM of 485,460,271,965,209 with Prime Factorization
5 | 485, 460, 271, 965, 209 |
97, 92, 271, 193, 209 |
Multiply the prime numbers at the bottom and the left side.
5 x 97 x 92 x 271 x 193 x 209 = 487755810740
Therefore, the lowest common multiple of 485,460,271,965,209 is 487755810740.
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.
485 x 460 x 271 x 965 x 209 = 12193895268500
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.
485 : 1, 5, 97, 485
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
271 : 1, 271
965 : 1, 5, 193, 965
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,460,271,965,209, is 1.
Now, the common factors can be found like this.
485:5x 97
460:2x 2x 5x 23
271:271
965:5x 193
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5 = 25
Therefore, the value for common factors is 25.
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 = 12193895268500/(1x25)
LCM = 12193895268500/25
LCM = 487755810740
Thus, we can understand that the LCM of 485,460,271,965,209 is 487755810740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 485, 460, 271, 965, 209?
Answer: LCM of 485, 460, 271, 965, 209 is 487755810740.
2. How to calculate the LCM of 485, 460, 271, 965, 209?
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 485, 460, 271, 965, 209.
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}.