LCM of 162, 594, 923, 429, 112
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 162, 594, 923, 429, 112 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, 594, 923, 429, 112. So, keep reading to learn more.
Given numbers are 162,594,923,429,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,594,923,429,112 is 92108016.
Find LCM of 162,594,923,429,112 with Prime Factorization
| 2 | 162, 594, 923, 429, 112 |
| 3 | 81, 297, 923, 429, 56 |
| 3 | 27, 99, 923, 143, 56 |
| 3 | 9, 33, 923, 143, 56 |
| 11 | 3, 11, 923, 143, 56 |
| 13 | 3, 1, 923, 13, 56 |
| 3, 1, 71, 1, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 13 x 3 x 1 x 71 x 1 x 56 = 92108016
Therefore, the lowest common multiple of 162,594,923,429,112 is 92108016.
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 594 x 923 x 429 x 112 = 4267548597312
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
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
923 : 1, 13, 71, 923
429 : 1, 3, 11, 13, 33, 39, 143, 429
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,594,923,429,112, is 1.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
594:2x 3x 3x 3x 11
923:13x 71
429:3x 11x 13
112:2x 2x 2x 2x 7
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 3x 3x 3x 3x 11x 13 = 46332
Therefore, the value for common factors is 46332.
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 = 4267548597312/(1x46332)
LCM = 4267548597312/46332
LCM = 92108016
Thus, we can understand that the LCM of 162,594,923,429,112 is 92108016.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 162, 594, 923, 429, 112
1. What is the LCM of 162, 594, 923, 429, 112?
Answer: LCM of 162, 594, 923, 429, 112 is 92108016.
2. How to calculate the LCM of 162, 594, 923, 429, 112?
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, 594, 923, 429, 112.
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}.