Find the LCM of 454, 215, 209, 462, 646 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 454, 215, 209, 462, 646. So, keep reading to learn more.
Given numbers are 454,215,209,462,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,215,209,462,646 is 7282974930.
Find LCM of 454,215,209,462,646 with Prime Factorization
2 | 454, 215, 209, 462, 646 |
11 | 227, 215, 209, 231, 323 |
19 | 227, 215, 19, 21, 323 |
227, 215, 1, 21, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 227 x 215 x 1 x 21 x 17 = 7282974930
Therefore, the lowest common multiple of 454,215,209,462,646 is 7282974930.
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.
454 x 215 x 209 x 462 x 646 = 6088567041480
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.
454 : 1, 2, 227, 454
215 : 1, 5, 43, 215
209 : 1, 11, 19, 209
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,215,209,462,646, is 1.
Now, the common factors can be found like this.
454:2x 227
215:5x 43
209:11x 19
462:2x 3x 7x 11
646:2x 17x 19
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 11x 19 = 836
Therefore, the value for common factors is 836.
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 = 6088567041480/(1x836)
LCM = 6088567041480/836
LCM = 7282974930
Thus, we can understand that the LCM of 454,215,209,462,646 is 7282974930.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 454, 215, 209, 462, 646?
Answer: LCM of 454, 215, 209, 462, 646 is 7282974930.
2. How to calculate the LCM of 454, 215, 209, 462, 646?
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 454, 215, 209, 462, 646.
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}.