Find the LCM of 171, 242, 798, 554, 494 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 171, 242, 798, 554, 494. So, keep reading to learn more.
Given numbers are 171,242,798,554,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 171,242,798,554,494 is 1043116074.
Find LCM of 171,242,798,554,494 with Prime Factorization
2 | 171, 242, 798, 554, 494 |
3 | 171, 121, 399, 277, 247 |
19 | 57, 121, 133, 277, 247 |
3, 121, 7, 277, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 3 x 121 x 7 x 277 x 13 = 1043116074
Therefore, the lowest common multiple of 171,242,798,554,494 is 1043116074.
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.
171 x 242 x 798 x 554 x 494 = 9037557665136
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.
171 : 1, 3, 9, 19, 57, 171
242 : 1, 2, 11, 22, 121, 242
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
554 : 1, 2, 277, 554
494 : 1, 2, 13, 19, 26, 38, 247, 494
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,242,798,554,494, is 1.
Now, the common factors can be found like this.
171:3x 3x 19
242:2x 11x 11
798:2x 3x 7x 19
554:2x 277
494:2x 13x 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 2x 3x 19x 19 = 8664
Therefore, the value for common factors is 8664.
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 = 9037557665136/(1x8664)
LCM = 9037557665136/8664
LCM = 1043116074
Thus, we can understand that the LCM of 171,242,798,554,494 is 1043116074.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 171, 242, 798, 554, 494?
Answer: LCM of 171, 242, 798, 554, 494 is 1043116074.
2. How to calculate the LCM of 171, 242, 798, 554, 494?
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 171, 242, 798, 554, 494.
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}.