LCM of 844, 999, 218, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 999, 218, 545 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 844, 999, 218, 545. So, keep reading to learn more.
Given numbers are 844,999,218,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,999,218,545 is 459520020.
Find LCM of 844,999,218,545 with Prime Factorization
| 2 | 844, 999, 218, 545 |
| 109 | 422, 999, 109, 545 |
| 422, 999, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 109 x 422 x 999 x 1 x 5 = 459520020
Therefore, the lowest common multiple of 844,999,218,545 is 459520020.
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.
844 x 999 x 218 x 545 = 100175364360
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.
844 : 1, 2, 4, 211, 422, 844
999 : 1, 3, 9, 27, 37, 111, 333, 999
218 : 1, 2, 109, 218
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,999,218,545, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
999:3x 3x 3x 37
218:2x 109
545:5x 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 109 = 218
Therefore, the value for common factors is 218.
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 = 100175364360/(1x218)
LCM = 100175364360/218
LCM = 459520020
Thus, we can understand that the LCM of 844,999,218,545 is 459520020.
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FAQs on LCM of 844, 999, 218, 545
1. What is the LCM of 844, 999, 218, 545?
Answer: LCM of 844, 999, 218, 545 is 459520020.
2. How to calculate the LCM of 844, 999, 218, 545?
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 844, 999, 218, 545.
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}.