LCM of 121, 446, 174, 812, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 121, 446, 174, 812, 717 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 121, 446, 174, 812, 717. So, keep reading to learn more.
Given numbers are 121,446,174,812,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 121,446,174,812,717 is 15709610532.
Find LCM of 121,446,174,812,717 with Prime Factorization
| 2 | 121, 446, 174, 812, 717 |
| 3 | 121, 223, 87, 406, 717 |
| 29 | 121, 223, 29, 406, 239 |
| 121, 223, 1, 14, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 121 x 223 x 1 x 14 x 239 = 15709610532
Therefore, the lowest common multiple of 121,446,174,812,717 is 15709610532.
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.
121 x 446 x 174 x 812 x 717 = 5466944465136
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.
121 : 1, 11, 121
446 : 1, 2, 223, 446
174 : 1, 2, 3, 6, 29, 58, 87, 174
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,446,174,812,717, is 1.
Now, the common factors can be found like this.
121:11x 11
446:2x 223
174:2x 3x 29
812:2x 2x 7x 29
717:3x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 29 = 348
Therefore, the value for common factors is 348.
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 = 5466944465136/(1x348)
LCM = 5466944465136/348
LCM = 15709610532
Thus, we can understand that the LCM of 121,446,174,812,717 is 15709610532.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 121, 446, 174, 812, 717
1. What is the LCM of 121, 446, 174, 812, 717?
Answer: LCM of 121, 446, 174, 812, 717 is 15709610532.
2. How to calculate the LCM of 121, 446, 174, 812, 717?
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 121, 446, 174, 812, 717.
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}.