Find the LCM of 706, 771, 854, 181, 385 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 706, 771, 854, 181, 385. So, keep reading to learn more.
Given numbers are 706,771,854,181,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,771,854,181,385 is 2313812795910.
Find LCM of 706,771,854,181,385 with Prime Factorization
2 | 706, 771, 854, 181, 385 |
7 | 353, 771, 427, 181, 385 |
353, 771, 61, 181, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 353 x 771 x 61 x 181 x 55 = 2313812795910
Therefore, the lowest common multiple of 706,771,854,181,385 is 2313812795910.
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.
706 x 771 x 854 x 181 x 385 = 32393379142740
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.
706 : 1, 2, 353, 706
771 : 1, 3, 257, 771
854 : 1, 2, 7, 14, 61, 122, 427, 854
181 : 1, 181
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,771,854,181,385, is 1.
Now, the common factors can be found like this.
706:2x 353
771:3x 257
854:2x 7x 61
181:181
385:5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 32393379142740/(1x14)
LCM = 32393379142740/14
LCM = 2313812795910
Thus, we can understand that the LCM of 706,771,854,181,385 is 2313812795910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 706, 771, 854, 181, 385?
Answer: LCM of 706, 771, 854, 181, 385 is 2313812795910.
2. How to calculate the LCM of 706, 771, 854, 181, 385?
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 706, 771, 854, 181, 385.
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}.