Find the LCM of 167, 531, 814, 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 167, 531, 814, 385. So, keep reading to learn more.
Given numbers are 167,531,814,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,531,814,385 is 2526407730.
Find LCM of 167,531,814,385 with Prime Factorization
11 | 167, 531, 814, 385 |
167, 531, 74, 35 |
Multiply the prime numbers at the bottom and the left side.
11 x 167 x 531 x 74 x 35 = 2526407730
Therefore, the lowest common multiple of 167,531,814,385 is 2526407730.
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.
167 x 531 x 814 x 385 = 27790485030
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.
167 : 1, 167
531 : 1, 3, 9, 59, 177, 531
814 : 1, 2, 11, 22, 37, 74, 407, 814
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 167,531,814,385, is 1.
Now, the common factors can be found like this.
167:167
531:3x 3x 59
814:2x 11x 37
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.
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 = 27790485030/(1x11)
LCM = 27790485030/11
LCM = 2526407730
Thus, we can understand that the LCM of 167,531,814,385 is 2526407730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 167, 531, 814, 385?
Answer: LCM of 167, 531, 814, 385 is 2526407730.
2. How to calculate the LCM of 167, 531, 814, 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 167, 531, 814, 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}.