Find the LCM of 460, 361, 484, 656, 543 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 460, 361, 484, 656, 543. So, keep reading to learn more.
Given numbers are 460,361,484,656,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,361,484,656,543 is 1789344989520.
Find LCM of 460,361,484,656,543 with Prime Factorization
2 | 460, 361, 484, 656, 543 |
2 | 230, 361, 242, 328, 543 |
115, 361, 121, 164, 543 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 115 x 361 x 121 x 164 x 543 = 1789344989520
Therefore, the lowest common multiple of 460,361,484,656,543 is 1789344989520.
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.
460 x 361 x 484 x 656 x 543 = 28629519832320
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
361 : 1, 19, 361
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
543 : 1, 3, 181, 543
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,361,484,656,543, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
361:19x 19
484:2x 2x 11x 11
656:2x 2x 2x 2x 41
543:3x 181
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 2 = 16
Therefore, the value for common factors is 16.
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 = 28629519832320/(1x16)
LCM = 28629519832320/16
LCM = 1789344989520
Thus, we can understand that the LCM of 460,361,484,656,543 is 1789344989520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 460, 361, 484, 656, 543?
Answer: LCM of 460, 361, 484, 656, 543 is 1789344989520.
2. How to calculate the LCM of 460, 361, 484, 656, 543?
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 460, 361, 484, 656, 543.
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}.