LCM of 844, 895, 836, 205
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 895, 836, 205 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, 895, 836, 205. So, keep reading to learn more.
Given numbers are 844,895,836,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,895,836,205 is 6472851220.
Find LCM of 844,895,836,205 with Prime Factorization
| 2 | 844, 895, 836, 205 |
| 2 | 422, 895, 418, 205 |
| 5 | 211, 895, 209, 205 |
| 211, 179, 209, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 211 x 179 x 209 x 41 = 6472851220
Therefore, the lowest common multiple of 844,895,836,205 is 6472851220.
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 895 x 836 x 205 = 129457024400
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
895 : 1, 5, 179, 895
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,895,836,205, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
895:5x 179
836:2x 2x 11x 19
205:5x 41
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 5 = 20
Therefore, the value for common factors is 20.
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 = 129457024400/(1x20)
LCM = 129457024400/20
LCM = 6472851220
Thus, we can understand that the LCM of 844,895,836,205 is 6472851220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 844, 895, 836, 205
1. What is the LCM of 844, 895, 836, 205?
Answer: LCM of 844, 895, 836, 205 is 6472851220.
2. How to calculate the LCM of 844, 895, 836, 205?
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, 895, 836, 205.
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}.