LCM of 168, 642, 280, 589, 853
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 642, 280, 589, 853 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, 642, 280, 589, 853. So, keep reading to learn more.
Given numbers are 168,642,280,589,853
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,642,280,589,853 is 45157239960.
Find LCM of 168,642,280,589,853 with Prime Factorization
| 2 | 168, 642, 280, 589, 853 |
| 2 | 84, 321, 140, 589, 853 |
| 2 | 42, 321, 70, 589, 853 |
| 3 | 21, 321, 35, 589, 853 |
| 7 | 7, 107, 35, 589, 853 |
| 1, 107, 5, 589, 853 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 1 x 107 x 5 x 589 x 853 = 45157239960
Therefore, the lowest common multiple of 168,642,280,589,853 is 45157239960.
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 642 x 280 x 589 x 853 = 15172832626560
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
642 : 1, 2, 3, 6, 107, 214, 321, 642
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
589 : 1, 19, 31, 589
853 : 1, 853
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,642,280,589,853, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
642:2x 3x 107
280:2x 2x 2x 5x 7
589:19x 31
853:853
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 2x 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 15172832626560/(1x336)
LCM = 15172832626560/336
LCM = 45157239960
Thus, we can understand that the LCM of 168,642,280,589,853 is 45157239960.
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, 642, 280, 589, 853
1. What is the LCM of 168, 642, 280, 589, 853?
Answer: LCM of 168, 642, 280, 589, 853 is 45157239960.
2. How to calculate the LCM of 168, 642, 280, 589, 853?
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, 642, 280, 589, 853.
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}.