Find the LCM of 267, 407, 715, 148, 167 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 267, 407, 715, 148, 167. So, keep reading to learn more.
Given numbers are 267,407,715,148,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,407,715,148,167 is 4718407980.
Find LCM of 267,407,715,148,167 with Prime Factorization
11 | 267, 407, 715, 148, 167 |
37 | 267, 37, 65, 148, 167 |
267, 1, 65, 4, 167 |
Multiply the prime numbers at the bottom and the left side.
11 x 37 x 267 x 1 x 65 x 4 x 167 = 4718407980
Therefore, the lowest common multiple of 267,407,715,148,167 is 4718407980.
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.
267 x 407 x 715 x 148 x 167 = 1920392047860
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.
267 : 1, 3, 89, 267
407 : 1, 11, 37, 407
715 : 1, 5, 11, 13, 55, 65, 143, 715
148 : 1, 2, 4, 37, 74, 148
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,407,715,148,167, is 1.
Now, the common factors can be found like this.
267:3x 89
407:11x 37
715:5x 11x 13
148:2x 2x 37
167:167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 37 = 407
Therefore, the value for common factors is 407.
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 = 1920392047860/(1x407)
LCM = 1920392047860/407
LCM = 4718407980
Thus, we can understand that the LCM of 267,407,715,148,167 is 4718407980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 267, 407, 715, 148, 167?
Answer: LCM of 267, 407, 715, 148, 167 is 4718407980.
2. How to calculate the LCM of 267, 407, 715, 148, 167?
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 267, 407, 715, 148, 167.
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}.