Find the LCM of 114, 731, 705, 828, 171 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 114, 731, 705, 828, 171. So, keep reading to learn more.
Given numbers are 114,731,705,828,171
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,731,705,828,171 is 2702521620.
Find LCM of 114,731,705,828,171 with Prime Factorization
2 | 114, 731, 705, 828, 171 |
3 | 57, 731, 705, 414, 171 |
3 | 19, 731, 235, 138, 57 |
19 | 19, 731, 235, 46, 19 |
1, 731, 235, 46, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 1 x 731 x 235 x 46 x 1 = 2702521620
Therefore, the lowest common multiple of 114,731,705,828,171 is 2702521620.
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.
114 x 731 x 705 x 828 x 171 = 8318361546360
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
731 : 1, 17, 43, 731
705 : 1, 3, 5, 15, 47, 141, 235, 705
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
171 : 1, 3, 9, 19, 57, 171
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,731,705,828,171, is 1.
Now, the common factors can be found like this.
114:2x 3x 19
731:17x 43
705:3x 5x 47
828:2x 2x 3x 3x 23
171:3x 3x 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 3x 3x 3x 3x 19 = 3078
Therefore, the value for common factors is 3078.
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 = 8318361546360/(1x3078)
LCM = 8318361546360/3078
LCM = 2702521620
Thus, we can understand that the LCM of 114,731,705,828,171 is 2702521620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 114, 731, 705, 828, 171?
Answer: LCM of 114, 731, 705, 828, 171 is 2702521620.
2. How to calculate the LCM of 114, 731, 705, 828, 171?
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 114, 731, 705, 828, 171.
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}.