LCM of 197, 221, 311, 527, 359
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 197, 221, 311, 527, 359 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 197, 221, 311, 527, 359. So, keep reading to learn more.
Given numbers are 197,221,311,527,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 197,221,311,527,359 is 150686737903.
Find LCM of 197,221,311,527,359 with Prime Factorization
| 17 | 197, 221, 311, 527, 359 |
| 197, 13, 311, 31, 359 |
Multiply the prime numbers at the bottom and the left side.
17 x 197 x 13 x 311 x 31 x 359 = 150686737903
Therefore, the lowest common multiple of 197,221,311,527,359 is 150686737903.
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.
197 x 221 x 311 x 527 x 359 = 2561674544351
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.
197 : 1, 197
221 : 1, 13, 17, 221
311 : 1, 311
527 : 1, 17, 31, 527
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,221,311,527,359, is 1.
Now, the common factors can be found like this.
197:197
221:13x 17
311:311
527:17x 31
359:359
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 2561674544351/(1x17)
LCM = 2561674544351/17
LCM = 150686737903
Thus, we can understand that the LCM of 197,221,311,527,359 is 150686737903.
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FAQs on LCM of 197, 221, 311, 527, 359
1. What is the LCM of 197, 221, 311, 527, 359?
Answer: LCM of 197, 221, 311, 527, 359 is 150686737903.
2. How to calculate the LCM of 197, 221, 311, 527, 359?
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 197, 221, 311, 527, 359.
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}.