Find the LCM of 162, 814, 494, 988, 853 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 162, 814, 494, 988, 853. So, keep reading to learn more.
Given numbers are 162,814,494,988,853
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,814,494,988,853 is 27783400788.
Find LCM of 162,814,494,988,853 with Prime Factorization
2 | 162, 814, 494, 988, 853 |
13 | 81, 407, 247, 494, 853 |
19 | 81, 407, 19, 38, 853 |
81, 407, 1, 2, 853 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 81 x 407 x 1 x 2 x 853 = 27783400788
Therefore, the lowest common multiple of 162,814,494,988,853 is 27783400788.
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.
162 x 814 x 494 x 988 x 853 = 54899999957088
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.
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
814 : 1, 2, 11, 22, 37, 74, 407, 814
494 : 1, 2, 13, 19, 26, 38, 247, 494
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
853 : 1, 853
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,814,494,988,853, is 1.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
814:2x 11x 37
494:2x 13x 19
988:2x 2x 13x 19
853:853
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 13x 19 = 1976
Therefore, the value for common factors is 1976.
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 = 54899999957088/(1x1976)
LCM = 54899999957088/1976
LCM = 27783400788
Thus, we can understand that the LCM of 162,814,494,988,853 is 27783400788.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 162, 814, 494, 988, 853?
Answer: LCM of 162, 814, 494, 988, 853 is 27783400788.
2. How to calculate the LCM of 162, 814, 494, 988, 853?
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 162, 814, 494, 988, 853.
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}.