LCM of 705, 429, 311, 169
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 429, 311, 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 705, 429, 311, 169. So, keep reading to learn more.
Given numbers are 705,429,311,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,429,311,169 is 407595045.
Find LCM of 705,429,311,169 with Prime Factorization
| 3 | 705, 429, 311, 169 |
| 13 | 235, 143, 311, 169 |
| 235, 11, 311, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 235 x 11 x 311 x 13 = 407595045
Therefore, the lowest common multiple of 705,429,311,169 is 407595045.
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.
705 x 429 x 311 x 169 = 15896206755
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
429 : 1, 3, 11, 13, 33, 39, 143, 429
311 : 1, 311
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,429,311,169, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
429:3x 11x 13
311:311
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.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 15896206755/(1x39)
LCM = 15896206755/39
LCM = 407595045
Thus, we can understand that the LCM of 705,429,311,169 is 407595045.
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FAQs on LCM of 705, 429, 311, 169
1. What is the LCM of 705, 429, 311, 169?
Answer: LCM of 705, 429, 311, 169 is 407595045.
2. How to calculate the LCM of 705, 429, 311, 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 705, 429, 311, 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}.