LCM of 229, 822, 102, 527, 201
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 229, 822, 102, 527, 201 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 229, 822, 102, 527, 201. So, keep reading to learn more.
Given numbers are 229,822,102,527,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,822,102,527,201 is 6646495542.
Find LCM of 229,822,102,527,201 with Prime Factorization
| 2 | 229, 822, 102, 527, 201 |
| 3 | 229, 411, 51, 527, 201 |
| 17 | 229, 137, 17, 527, 67 |
| 229, 137, 1, 31, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 229 x 137 x 1 x 31 x 67 = 6646495542
Therefore, the lowest common multiple of 229,822,102,527,201 is 6646495542.
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.
229 x 822 x 102 x 527 x 201 = 2033827635852
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.
229 : 1, 229
822 : 1, 2, 3, 6, 137, 274, 411, 822
102 : 1, 2, 3, 6, 17, 34, 51, 102
527 : 1, 17, 31, 527
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,822,102,527,201, is 1.
Now, the common factors can be found like this.
229:229
822:2x 3x 137
102:2x 3x 17
527:17x 31
201:3x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 17 = 306
Therefore, the value for common factors is 306.
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 = 2033827635852/(1x306)
LCM = 2033827635852/306
LCM = 6646495542
Thus, we can understand that the LCM of 229,822,102,527,201 is 6646495542.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 229, 822, 102, 527, 201
1. What is the LCM of 229, 822, 102, 527, 201?
Answer: LCM of 229, 822, 102, 527, 201 is 6646495542.
2. How to calculate the LCM of 229, 822, 102, 527, 201?
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 229, 822, 102, 527, 201.
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}.