LCM of 168, 320, 557, 789, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 320, 557, 789, 407 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 168, 320, 557, 789, 407. So, keep reading to learn more.
Given numbers are 168,320,557,789,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,320,557,789,407 is 400658744640.
Find LCM of 168,320,557,789,407 with Prime Factorization
| 2 | 168, 320, 557, 789, 407 |
| 2 | 84, 160, 557, 789, 407 |
| 2 | 42, 80, 557, 789, 407 |
| 3 | 21, 40, 557, 789, 407 |
| 7, 40, 557, 263, 407 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 40 x 557 x 263 x 407 = 400658744640
Therefore, the lowest common multiple of 168,320,557,789,407 is 400658744640.
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.
168 x 320 x 557 x 789 x 407 = 9615809871360
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
557 : 1, 557
789 : 1, 3, 263, 789
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,320,557,789,407, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
320:2x 2x 2x 2x 2x 2x 5
557:557
789:3x 263
407:11x 37
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 3 = 24
Therefore, the value for common factors is 24.
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 = 9615809871360/(1x24)
LCM = 9615809871360/24
LCM = 400658744640
Thus, we can understand that the LCM of 168,320,557,789,407 is 400658744640.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 168, 320, 557, 789, 407
1. What is the LCM of 168, 320, 557, 789, 407?
Answer: LCM of 168, 320, 557, 789, 407 is 400658744640.
2. How to calculate the LCM of 168, 320, 557, 789, 407?
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 168, 320, 557, 789, 407.
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}.