LCM of 332, 882, 206, 343
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 332, 882, 206, 343 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 332, 882, 206, 343. So, keep reading to learn more.
Given numbers are 332,882,206,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,882,206,343 is 105563052.
Find LCM of 332,882,206,343 with Prime Factorization
| 2 | 332, 882, 206, 343 |
| 7 | 166, 441, 103, 343 |
| 7 | 166, 63, 103, 49 |
| 166, 9, 103, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 7 x 166 x 9 x 103 x 7 = 105563052
Therefore, the lowest common multiple of 332,882,206,343 is 105563052.
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.
332 x 882 x 206 x 343 = 20690358192
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.
332 : 1, 2, 4, 83, 166, 332
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
206 : 1, 2, 103, 206
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,882,206,343, is 1.
Now, the common factors can be found like this.
332:2x 2x 83
882:2x 3x 3x 7x 7
206:2x 103
343:7x 7x 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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 20690358192/(1x196)
LCM = 20690358192/196
LCM = 105563052
Thus, we can understand that the LCM of 332,882,206,343 is 105563052.
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FAQs on LCM of 332, 882, 206, 343
1. What is the LCM of 332, 882, 206, 343?
Answer: LCM of 332, 882, 206, 343 is 105563052.
2. How to calculate the LCM of 332, 882, 206, 343?
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 332, 882, 206, 343.
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}.