Find the LCM of 342, 789, 671, 173, 814 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 342, 789, 671, 173, 814. So, keep reading to learn more.
Given numbers are 342,789,671,173,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,789,671,173,814 is 386324456166.
Find LCM of 342,789,671,173,814 with Prime Factorization
2 | 342, 789, 671, 173, 814 |
3 | 171, 789, 671, 173, 407 |
11 | 57, 263, 671, 173, 407 |
57, 263, 61, 173, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 57 x 263 x 61 x 173 x 37 = 386324456166
Therefore, the lowest common multiple of 342,789,671,173,814 is 386324456166.
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.
342 x 789 x 671 x 173 x 814 = 25497414106956
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
789 : 1, 3, 263, 789
671 : 1, 11, 61, 671
173 : 1, 173
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,789,671,173,814, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
789:3x 263
671:11x 61
173:173
814:2x 11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 25497414106956/(1x66)
LCM = 25497414106956/66
LCM = 386324456166
Thus, we can understand that the LCM of 342,789,671,173,814 is 386324456166.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 342, 789, 671, 173, 814?
Answer: LCM of 342, 789, 671, 173, 814 is 386324456166.
2. How to calculate the LCM of 342, 789, 671, 173, 814?
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 342, 789, 671, 173, 814.
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}.