Find the LCM of 484, 857, 957, 551, 542 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 484, 857, 957, 551, 542. So, keep reading to learn more.
Given numbers are 484,857,957,551,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,857,957,551,542 is 185809676844.
Find LCM of 484,857,957,551,542 with Prime Factorization
2 | 484, 857, 957, 551, 542 |
11 | 242, 857, 957, 551, 271 |
29 | 22, 857, 87, 551, 271 |
22, 857, 3, 19, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 29 x 22 x 857 x 3 x 19 x 271 = 185809676844
Therefore, the lowest common multiple of 484,857,957,551,542 is 185809676844.
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.
484 x 857 x 957 x 551 x 542 = 118546573826472
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
857 : 1, 857
957 : 1, 3, 11, 29, 33, 87, 319, 957
551 : 1, 19, 29, 551
542 : 1, 2, 271, 542
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,857,957,551,542, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
857:857
957:3x 11x 29
551:19x 29
542:2x 271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 29 = 638
Therefore, the value for common factors is 638.
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 = 118546573826472/(1x638)
LCM = 118546573826472/638
LCM = 185809676844
Thus, we can understand that the LCM of 484,857,957,551,542 is 185809676844.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 484, 857, 957, 551, 542?
Answer: LCM of 484, 857, 957, 551, 542 is 185809676844.
2. How to calculate the LCM of 484, 857, 957, 551, 542?
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 484, 857, 957, 551, 542.
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}.