LCM of 873, 286, 738, 221, 273
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 873, 286, 738, 221, 273 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 873, 286, 738, 221, 273. So, keep reading to learn more.
Given numbers are 873,286,738,221,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 873,286,738,221,273 is 1218178962.
Find LCM of 873,286,738,221,273 with Prime Factorization
| 2 | 873, 286, 738, 221, 273 |
| 3 | 873, 143, 369, 221, 273 |
| 3 | 291, 143, 123, 221, 91 |
| 13 | 97, 143, 41, 221, 91 |
| 97, 11, 41, 17, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 97 x 11 x 41 x 17 x 7 = 1218178962
Therefore, the lowest common multiple of 873,286,738,221,273 is 1218178962.
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.
873 x 286 x 738 x 221 x 273 = 11117101207212
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.
873 : 1, 3, 9, 97, 291, 873
286 : 1, 2, 11, 13, 22, 26, 143, 286
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
221 : 1, 13, 17, 221
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,286,738,221,273, is 1.
Now, the common factors can be found like this.
873:3x 3x 97
286:2x 11x 13
738:2x 3x 3x 41
221:13x 17
273:3x 7x 13
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 3x 13x 13 = 9126
Therefore, the value for common factors is 9126.
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 = 11117101207212/(1x9126)
LCM = 11117101207212/9126
LCM = 1218178962
Thus, we can understand that the LCM of 873,286,738,221,273 is 1218178962.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 873, 286, 738, 221, 273
1. What is the LCM of 873, 286, 738, 221, 273?
Answer: LCM of 873, 286, 738, 221, 273 is 1218178962.
2. How to calculate the LCM of 873, 286, 738, 221, 273?
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 873, 286, 738, 221, 273.
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}.