LCM of 201, 351, 299, 939, 751
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 201, 351, 299, 939, 751 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, 351, 299, 939, 751. So, keep reading to learn more.
Given numbers are 201,351,299,939,751
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 201,351,299,939,751 is 127143461133.
Find LCM of 201,351,299,939,751 with Prime Factorization
| 3 | 201, 351, 299, 939, 751 |
| 13 | 67, 117, 299, 313, 751 |
| 67, 9, 23, 313, 751 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 67 x 9 x 23 x 313 x 751 = 127143461133
Therefore, the lowest common multiple of 201,351,299,939,751 is 127143461133.
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 351 x 299 x 939 x 751 = 14875784952561
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
351 : 1, 3, 9, 13, 27, 39, 117, 351
299 : 1, 13, 23, 299
939 : 1, 3, 313, 939
751 : 1, 751
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,351,299,939,751, is 1.
Now, the common factors can be found like this.
201:3x 67
351:3x 3x 3x 13
299:13x 23
939:3x 313
751:751
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 13 = 117
Therefore, the value for common factors is 117.
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 = 14875784952561/(1x117)
LCM = 14875784952561/117
LCM = 127143461133
Thus, we can understand that the LCM of 201,351,299,939,751 is 127143461133.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 201, 351, 299, 939, 751
1. What is the LCM of 201, 351, 299, 939, 751?
Answer: LCM of 201, 351, 299, 939, 751 is 127143461133.
2. How to calculate the LCM of 201, 351, 299, 939, 751?
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, 351, 299, 939, 751.
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}.