LCM of 294, 245, 388, 198, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 294, 245, 388, 198, 814 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 294, 245, 388, 198, 814. So, keep reading to learn more.
Given numbers are 294,245,388,198,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 294,245,388,198,814 is 348204780.
Find LCM of 294,245,388,198,814 with Prime Factorization
| 2 | 294, 245, 388, 198, 814 |
| 3 | 147, 245, 194, 99, 407 |
| 7 | 49, 245, 194, 33, 407 |
| 7 | 7, 35, 194, 33, 407 |
| 11 | 1, 5, 194, 33, 407 |
| 1, 5, 194, 3, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 11 x 1 x 5 x 194 x 3 x 37 = 348204780
Therefore, the lowest common multiple of 294,245,388,198,814 is 348204780.
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.
294 x 245 x 388 x 198 x 814 = 4504377034080
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.
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
245 : 1, 5, 7, 35, 49, 245
388 : 1, 2, 4, 97, 194, 388
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,245,388,198,814, is 1.
Now, the common factors can be found like this.
294:2x 3x 7x 7
245:5x 7x 7
388:2x 2x 97
198:2x 3x 3x 11
814:2x 11x 37
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 2x 3x 7x 7x 11 = 12936
Therefore, the value for common factors is 12936.
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 = 4504377034080/(1x12936)
LCM = 4504377034080/12936
LCM = 348204780
Thus, we can understand that the LCM of 294,245,388,198,814 is 348204780.
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FAQs on LCM of 294, 245, 388, 198, 814
1. What is the LCM of 294, 245, 388, 198, 814?
Answer: LCM of 294, 245, 388, 198, 814 is 348204780.
2. How to calculate the LCM of 294, 245, 388, 198, 814?
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 294, 245, 388, 198, 814.
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}.