Find the LCM of 311, 685, 737, 429 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 311, 685, 737, 429. So, keep reading to learn more.
Given numbers are 311,685,737,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 311,685,737,429 is 6123265005.
Find LCM of 311,685,737,429 with Prime Factorization
11 | 311, 685, 737, 429 |
311, 685, 67, 39 |
Multiply the prime numbers at the bottom and the left side.
11 x 311 x 685 x 67 x 39 = 6123265005
Therefore, the lowest common multiple of 311,685,737,429 is 6123265005.
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.
311 x 685 x 737 x 429 = 67355915055
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.
311 : 1, 311
685 : 1, 5, 137, 685
737 : 1, 11, 67, 737
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,685,737,429, is 1.
Now, the common factors can be found like this.
311:311
685:5x 137
737:11x 67
429:3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 67355915055/(1x11)
LCM = 67355915055/11
LCM = 6123265005
Thus, we can understand that the LCM of 311,685,737,429 is 6123265005.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 311, 685, 737, 429?
Answer: LCM of 311, 685, 737, 429 is 6123265005.
2. How to calculate the LCM of 311, 685, 737, 429?
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 311, 685, 737, 429.
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}.