LCM of 329, 663, 850, 169
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 329, 663, 850, 169 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 329, 663, 850, 169. So, keep reading to learn more.
Given numbers are 329,663,850,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 329,663,850,169 is 141782550.
Find LCM of 329,663,850,169 with Prime Factorization
| 13 | 329, 663, 850, 169 |
| 17 | 329, 51, 850, 13 |
| 329, 3, 50, 13 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 329 x 3 x 50 x 13 = 141782550
Therefore, the lowest common multiple of 329,663,850,169 is 141782550.
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.
329 x 663 x 850 x 169 = 31333943550
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.
329 : 1, 7, 47, 329
663 : 1, 3, 13, 17, 39, 51, 221, 663
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,663,850,169, is 1.
Now, the common factors can be found like this.
329:7x 47
663:3x 13x 17
850:2x 5x 5x 17
169:13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 31333943550/(1x221)
LCM = 31333943550/221
LCM = 141782550
Thus, we can understand that the LCM of 329,663,850,169 is 141782550.
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FAQs on LCM of 329, 663, 850, 169
1. What is the LCM of 329, 663, 850, 169?
Answer: LCM of 329, 663, 850, 169 is 141782550.
2. How to calculate the LCM of 329, 663, 850, 169?
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 329, 663, 850, 169.
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}.