LCM of 945, 406, 329, 245
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 406, 329, 245 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 945, 406, 329, 245. So, keep reading to learn more.
Given numbers are 945,406,329,245
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,406,329,245 is 18032490.
Find LCM of 945,406,329,245 with Prime Factorization
| 5 | 945, 406, 329, 245 |
| 7 | 189, 406, 329, 49 |
| 27, 58, 47, 7 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 27 x 58 x 47 x 7 = 18032490
Therefore, the lowest common multiple of 945,406,329,245 is 18032490.
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.
945 x 406 x 329 x 245 = 30925720350
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
406 : 1, 2, 7, 14, 29, 58, 203, 406
329 : 1, 7, 47, 329
245 : 1, 5, 7, 35, 49, 245
7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,406,329,245, is 7.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
406:2x 7x 29
329:7x 47
245:5x 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.
5x 7x 7 = 245
Therefore, the value for common factors is 245.
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 = 30925720350/(7x245)
LCM = 30925720350/1715
LCM = 18032490
Thus, we can understand that the LCM of 945,406,329,245 is 18032490.
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FAQs on LCM of 945, 406, 329, 245
1. What is the LCM of 945, 406, 329, 245?
Answer: LCM of 945, 406, 329, 245 is 18032490.
2. How to calculate the LCM of 945, 406, 329, 245?
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 945, 406, 329, 245.
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}.