LCM of 315, 406, 324, 162, 193
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 406, 324, 162, 193 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 315, 406, 324, 162, 193. So, keep reading to learn more.
Given numbers are 315,406,324,162,193
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,406,324,162,193 is 63469980.
Find LCM of 315,406,324,162,193 with Prime Factorization
| 2 | 315, 406, 324, 162, 193 |
| 3 | 315, 203, 162, 81, 193 |
| 3 | 105, 203, 54, 27, 193 |
| 3 | 35, 203, 18, 9, 193 |
| 3 | 35, 203, 6, 3, 193 |
| 7 | 35, 203, 2, 1, 193 |
| 5, 29, 2, 1, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 7 x 5 x 29 x 2 x 1 x 193 = 63469980
Therefore, the lowest common multiple of 315,406,324,162,193 is 63469980.
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.
315 x 406 x 324 x 162 x 193 = 1295549231760
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
406 : 1, 2, 7, 14, 29, 58, 203, 406
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
193 : 1, 193
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,406,324,162,193, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
406:2x 7x 29
324:2x 2x 3x 3x 3x 3
162:2x 3x 3x 3x 3
193:193
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 3x 3x 7 = 20412
Therefore, the value for common factors is 20412.
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 = 1295549231760/(1x20412)
LCM = 1295549231760/20412
LCM = 63469980
Thus, we can understand that the LCM of 315,406,324,162,193 is 63469980.
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FAQs on LCM of 315, 406, 324, 162, 193
1. What is the LCM of 315, 406, 324, 162, 193?
Answer: LCM of 315, 406, 324, 162, 193 is 63469980.
2. How to calculate the LCM of 315, 406, 324, 162, 193?
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 315, 406, 324, 162, 193.
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}.