LCM of 845, 398, 820, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 398, 820, 872 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 845, 398, 820, 872. So, keep reading to learn more.
Given numbers are 845,398,820,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,398,820,872 is 6011877560.
Find LCM of 845,398,820,872 with Prime Factorization
| 2 | 845, 398, 820, 872 |
| 2 | 845, 199, 410, 436 |
| 5 | 845, 199, 205, 218 |
| 169, 199, 41, 218 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 169 x 199 x 41 x 218 = 6011877560
Therefore, the lowest common multiple of 845,398,820,872 is 6011877560.
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.
845 x 398 x 820 x 872 = 240475102400
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.
845 : 1, 5, 13, 65, 169, 845
398 : 1, 2, 199, 398
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,398,820,872, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
398:2x 199
820:2x 2x 5x 41
872:2x 2x 2x 109
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 5 = 40
Therefore, the value for common factors is 40.
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 = 240475102400/(1x40)
LCM = 240475102400/40
LCM = 6011877560
Thus, we can understand that the LCM of 845,398,820,872 is 6011877560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 845, 398, 820, 872
1. What is the LCM of 845, 398, 820, 872?
Answer: LCM of 845, 398, 820, 872 is 6011877560.
2. How to calculate the LCM of 845, 398, 820, 872?
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 845, 398, 820, 872.
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}.