LCM of 221, 667, 493, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 221, 667, 493, 174 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 221, 667, 493, 174. So, keep reading to learn more.
Given numbers are 221,667,493,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,667,493,174 is 884442.
Find LCM of 221,667,493,174 with Prime Factorization
| 17 | 221, 667, 493, 174 |
| 29 | 13, 667, 29, 174 |
| 13, 23, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
17 x 29 x 13 x 23 x 1 x 6 = 884442
Therefore, the lowest common multiple of 221,667,493,174 is 884442.
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.
221 x 667 x 493 x 174 = 12644867274
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.
221 : 1, 13, 17, 221
667 : 1, 23, 29, 667
493 : 1, 17, 29, 493
174 : 1, 2, 3, 6, 29, 58, 87, 174
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,667,493,174, is 1.
Now, the common factors can be found like this.
221:13x 17
667:23x 29
493:17x 29
174:2x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 29x 29 = 14297
Therefore, the value for common factors is 14297.
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 = 12644867274/(1x14297)
LCM = 12644867274/14297
LCM = 884442
Thus, we can understand that the LCM of 221,667,493,174 is 884442.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 221, 667, 493, 174
1. What is the LCM of 221, 667, 493, 174?
Answer: LCM of 221, 667, 493, 174 is 884442.
2. How to calculate the LCM of 221, 667, 493, 174?
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 221, 667, 493, 174.
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}.