LCM of 201, 123, 902, 882, 547
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 201, 123, 902, 882, 547 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 201, 123, 902, 882, 547. So, keep reading to learn more.
Given numbers are 201,123,902,882,547
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 201,123,902,882,547 is 14578312518.
Find LCM of 201,123,902,882,547 with Prime Factorization
| 2 | 201, 123, 902, 882, 547 |
| 3 | 201, 123, 451, 441, 547 |
| 41 | 67, 41, 451, 147, 547 |
| 67, 1, 11, 147, 547 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 67 x 1 x 11 x 147 x 547 = 14578312518
Therefore, the lowest common multiple of 201,123,902,882,547 is 14578312518.
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.
201 x 123 x 902 x 882 x 547 = 10758794638284
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.
201 : 1, 3, 67, 201
123 : 1, 3, 41, 123
902 : 1, 2, 11, 22, 41, 82, 451, 902
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
547 : 1, 547
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,123,902,882,547, is 1.
Now, the common factors can be found like this.
201:3x 67
123:3x 41
902:2x 11x 41
882:2x 3x 3x 7x 7
547:547
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 41 = 738
Therefore, the value for common factors is 738.
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 = 10758794638284/(1x738)
LCM = 10758794638284/738
LCM = 14578312518
Thus, we can understand that the LCM of 201,123,902,882,547 is 14578312518.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 201, 123, 902, 882, 547
1. What is the LCM of 201, 123, 902, 882, 547?
Answer: LCM of 201, 123, 902, 882, 547 is 14578312518.
2. How to calculate the LCM of 201, 123, 902, 882, 547?
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 201, 123, 902, 882, 547.
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}.