LCM of 345, 132, 176, 217, 217
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 345, 132, 176, 217, 217 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 345, 132, 176, 217, 217. So, keep reading to learn more.
Given numbers are 345,132,176,217,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,132,176,217,217 is 13176240.
Find LCM of 345,132,176,217,217 with Prime Factorization
| 2 | 345, 132, 176, 217, 217 |
| 2 | 345, 66, 88, 217, 217 |
| 3 | 345, 33, 44, 217, 217 |
| 7 | 115, 11, 44, 217, 217 |
| 11 | 115, 11, 44, 31, 31 |
| 31 | 115, 1, 4, 31, 31 |
| 115, 1, 4, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 31 x 115 x 1 x 4 x 1 x 1 = 13176240
Therefore, the lowest common multiple of 345,132,176,217,217 is 13176240.
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.
345 x 132 x 176 x 217 x 217 = 377420218560
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.
345 : 1, 3, 5, 15, 23, 69, 115, 345
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
217 : 1, 7, 31, 217
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,132,176,217,217, is 1.
Now, the common factors can be found like this.
345:3x 5x 23
132:2x 2x 3x 11
176:2x 2x 2x 2x 11
217:7x 31
217:7x 31
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 7x 11x 31 = 28644
Therefore, the value for common factors is 28644.
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 = 377420218560/(1x28644)
LCM = 377420218560/28644
LCM = 13176240
Thus, we can understand that the LCM of 345,132,176,217,217 is 13176240.
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FAQs on LCM of 345, 132, 176, 217, 217
1. What is the LCM of 345, 132, 176, 217, 217?
Answer: LCM of 345, 132, 176, 217, 217 is 13176240.
2. How to calculate the LCM of 345, 132, 176, 217, 217?
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 345, 132, 176, 217, 217.
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}.