Find the LCM of 167, 923, 754, 837 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, 923, 754, 837. So, keep reading to learn more.
Given numbers are 167,923,754,837
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,923,754,837 is 7482928986.
Find LCM of 167,923,754,837 with Prime Factorization
13 | 167, 923, 754, 837 |
167, 71, 58, 837 |
Multiply the prime numbers at the bottom and the left side.
13 x 167 x 71 x 58 x 837 = 7482928986
Therefore, the lowest common multiple of 167,923,754,837 is 7482928986.
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 923 x 754 x 837 = 97278076818
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
923 : 1, 13, 71, 923
754 : 1, 2, 13, 26, 29, 58, 377, 754
837 : 1, 3, 9, 27, 31, 93, 279, 837
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,923,754,837, is 1.
Now, the common factors can be found like this.
167:167
923:13x 71
754:2x 13x 29
837:3x 3x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 97278076818/(1x13)
LCM = 97278076818/13
LCM = 7482928986
Thus, we can understand that the LCM of 167,923,754,837 is 7482928986.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 167, 923, 754, 837?
Answer: LCM of 167, 923, 754, 837 is 7482928986.
2. How to calculate the LCM of 167, 923, 754, 837?
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, 923, 754, 837.
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}.