LCM of 305, 257, 297, 349, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 257, 297, 349, 198 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 305, 257, 297, 349, 198. So, keep reading to learn more.
Given numbers are 305,257,297,349,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,257,297,349,198 is 16249680810.
Find LCM of 305,257,297,349,198 with Prime Factorization
| 3 | 305, 257, 297, 349, 198 |
| 3 | 305, 257, 99, 349, 66 |
| 11 | 305, 257, 33, 349, 22 |
| 305, 257, 3, 349, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 305 x 257 x 3 x 349 x 2 = 16249680810
Therefore, the lowest common multiple of 305,257,297,349,198 is 16249680810.
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.
305 x 257 x 297 x 349 x 198 = 1608718400190
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.
305 : 1, 5, 61, 305
257 : 1, 257
297 : 1, 3, 9, 11, 27, 33, 99, 297
349 : 1, 349
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,257,297,349,198, is 1.
Now, the common factors can be found like this.
305:5x 61
257:257
297:3x 3x 3x 11
349:349
198:2x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11 = 99
Therefore, the value for common factors is 99.
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 = 1608718400190/(1x99)
LCM = 1608718400190/99
LCM = 16249680810
Thus, we can understand that the LCM of 305,257,297,349,198 is 16249680810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 305, 257, 297, 349, 198
1. What is the LCM of 305, 257, 297, 349, 198?
Answer: LCM of 305, 257, 297, 349, 198 is 16249680810.
2. How to calculate the LCM of 305, 257, 297, 349, 198?
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 305, 257, 297, 349, 198.
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}.