LCM of 338, 193, 243, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 193, 243, 324 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 338, 193, 243, 324. So, keep reading to learn more.
Given numbers are 338,193,243,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,193,243,324 is 31703724.
Find LCM of 338,193,243,324 with Prime Factorization
| 2 | 338, 193, 243, 324 |
| 3 | 169, 193, 243, 162 |
| 3 | 169, 193, 81, 54 |
| 3 | 169, 193, 27, 18 |
| 3 | 169, 193, 9, 6 |
| 169, 193, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 169 x 193 x 3 x 2 = 31703724
Therefore, the lowest common multiple of 338,193,243,324 is 31703724.
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.
338 x 193 x 243 x 324 = 5136003288
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.
338 : 1, 2, 13, 26, 169, 338
193 : 1, 193
243 : 1, 3, 9, 27, 81, 243
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,193,243,324, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
193:193
243:3x 3x 3x 3x 3
324:2x 2x 3x 3x 3x 3
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 3 = 162
Therefore, the value for common factors is 162.
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 = 5136003288/(1x162)
LCM = 5136003288/162
LCM = 31703724
Thus, we can understand that the LCM of 338,193,243,324 is 31703724.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 338, 193, 243, 324
1. What is the LCM of 338, 193, 243, 324?
Answer: LCM of 338, 193, 243, 324 is 31703724.
2. How to calculate the LCM of 338, 193, 243, 324?
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 338, 193, 243, 324.
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}.