LCM of 853, 441, 466, 216, 976
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 853, 441, 466, 216, 976 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 853, 441, 466, 216, 976. So, keep reading to learn more.
Given numbers are 853,441,466,216,976
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,441,466,216,976 is 256634248752.
Find LCM of 853,441,466,216,976 with Prime Factorization
| 2 | 853, 441, 466, 216, 976 |
| 2 | 853, 441, 233, 108, 488 |
| 2 | 853, 441, 233, 54, 244 |
| 3 | 853, 441, 233, 27, 122 |
| 3 | 853, 147, 233, 9, 122 |
| 853, 49, 233, 3, 122 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 853 x 49 x 233 x 3 x 122 = 256634248752
Therefore, the lowest common multiple of 853,441,466,216,976 is 256634248752.
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.
853 x 441 x 466 x 216 x 976 = 36955331820288
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.
853 : 1, 853
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
466 : 1, 2, 233, 466
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,441,466,216,976, is 1.
Now, the common factors can be found like this.
853:853
441:3x 3x 7x 7
466:2x 233
216:2x 2x 2x 3x 3x 3
976:2x 2x 2x 2x 61
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 3 = 144
Therefore, the value for common factors is 144.
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 = 36955331820288/(1x144)
LCM = 36955331820288/144
LCM = 256634248752
Thus, we can understand that the LCM of 853,441,466,216,976 is 256634248752.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 853, 441, 466, 216, 976
1. What is the LCM of 853, 441, 466, 216, 976?
Answer: LCM of 853, 441, 466, 216, 976 is 256634248752.
2. How to calculate the LCM of 853, 441, 466, 216, 976?
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 853, 441, 466, 216, 976.
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}.