Find the LCM of 162, 167, 655, 889, 917 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 162, 167, 655, 889, 917. So, keep reading to learn more.
Given numbers are 162,167,655,889,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 162,167,655,889,917 is 15753408930.
Find LCM of 162,167,655,889,917 with Prime Factorization
7 | 162, 167, 655, 889, 917 |
131 | 162, 167, 655, 127, 131 |
162, 167, 5, 127, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 131 x 162 x 167 x 5 x 127 x 1 = 15753408930
Therefore, the lowest common multiple of 162,167,655,889,917 is 15753408930.
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.
162 x 167 x 655 x 889 x 917 = 14445875988810
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.
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
167 : 1, 167
655 : 1, 5, 131, 655
889 : 1, 7, 127, 889
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,167,655,889,917, is 1.
Now, the common factors can be found like this.
162:2x 3x 3x 3x 3
167:167
655:5x 131
889:7x 127
917:7x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 131 = 917
Therefore, the value for common factors is 917.
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 = 14445875988810/(1x917)
LCM = 14445875988810/917
LCM = 15753408930
Thus, we can understand that the LCM of 162,167,655,889,917 is 15753408930.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 162, 167, 655, 889, 917?
Answer: LCM of 162, 167, 655, 889, 917 is 15753408930.
2. How to calculate the LCM of 162, 167, 655, 889, 917?
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 162, 167, 655, 889, 917.
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}.