LCM of 167, 940, 832, 598, 977
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 167, 940, 832, 598, 977 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, 940, 832, 598, 977. So, keep reading to learn more.
Given numbers are 167,940,832,598,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,940,832,598,977 is 733719496640.
Find LCM of 167,940,832,598,977 with Prime Factorization
| 2 | 167, 940, 832, 598, 977 |
| 2 | 167, 470, 416, 299, 977 |
| 13 | 167, 235, 208, 299, 977 |
| 167, 235, 16, 23, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 167 x 235 x 16 x 23 x 977 = 733719496640
Therefore, the lowest common multiple of 167,940,832,598,977 is 733719496640.
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 940 x 832 x 598 x 977 = 76306827650560
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
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
598 : 1, 2, 13, 23, 26, 46, 299, 598
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,940,832,598,977, is 1.
Now, the common factors can be found like this.
167:167
940:2x 2x 5x 47
832:2x 2x 2x 2x 2x 2x 13
598:2x 13x 23
977:977
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 76306827650560/(1x104)
LCM = 76306827650560/104
LCM = 733719496640
Thus, we can understand that the LCM of 167,940,832,598,977 is 733719496640.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 167, 940, 832, 598, 977
1. What is the LCM of 167, 940, 832, 598, 977?
Answer: LCM of 167, 940, 832, 598, 977 is 733719496640.
2. How to calculate the LCM of 167, 940, 832, 598, 977?
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, 940, 832, 598, 977.
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}.