LCM of 671, 170, 253, 221, 529
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 170, 253, 221, 529 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 671, 170, 253, 221, 529. So, keep reading to learn more.
Given numbers are 671,170,253,221,529
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,170,253,221,529 is 784459390.
Find LCM of 671,170,253,221,529 with Prime Factorization
| 11 | 671, 170, 253, 221, 529 |
| 17 | 61, 170, 23, 221, 529 |
| 23 | 61, 10, 23, 13, 529 |
| 61, 10, 1, 13, 23 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 23 x 61 x 10 x 1 x 13 x 23 = 784459390
Therefore, the lowest common multiple of 671,170,253,221,529 is 784459390.
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.
671 x 170 x 253 x 221 x 529 = 3373959836390
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.
671 : 1, 11, 61, 671
170 : 1, 2, 5, 10, 17, 34, 85, 170
253 : 1, 11, 23, 253
221 : 1, 13, 17, 221
529 : 1, 23, 529
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,170,253,221,529, is 1.
Now, the common factors can be found like this.
671:11x 61
170:2x 5x 17
253:11x 23
221:13x 17
529:23x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 17x 23 = 4301
Therefore, the value for common factors is 4301.
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 = 3373959836390/(1x4301)
LCM = 3373959836390/4301
LCM = 784459390
Thus, we can understand that the LCM of 671,170,253,221,529 is 784459390.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 671, 170, 253, 221, 529
1. What is the LCM of 671, 170, 253, 221, 529?
Answer: LCM of 671, 170, 253, 221, 529 is 784459390.
2. How to calculate the LCM of 671, 170, 253, 221, 529?
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 671, 170, 253, 221, 529.
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}.