LCM of 853, 943, 123, 378, 441
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 853, 943, 123, 378, 441 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, 943, 123, 378, 441. So, keep reading to learn more.
Given numbers are 853,943,123,378,441
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,943,123,378,441 is 2128386834.
Find LCM of 853,943,123,378,441 with Prime Factorization
| 3 | 853, 943, 123, 378, 441 |
| 3 | 853, 943, 41, 126, 147 |
| 7 | 853, 943, 41, 42, 49 |
| 41 | 853, 943, 41, 6, 7 |
| 853, 23, 1, 6, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 41 x 853 x 23 x 1 x 6 x 7 = 2128386834
Therefore, the lowest common multiple of 853,943,123,378,441 is 2128386834.
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 943 x 123 x 378 x 441 = 16492869576666
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
943 : 1, 23, 41, 943
123 : 1, 3, 41, 123
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,943,123,378,441, is 1.
Now, the common factors can be found like this.
853:853
943:23x 41
123:3x 41
378:2x 3x 3x 3x 7
441:3x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 41 = 7749
Therefore, the value for common factors is 7749.
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 = 16492869576666/(1x7749)
LCM = 16492869576666/7749
LCM = 2128386834
Thus, we can understand that the LCM of 853,943,123,378,441 is 2128386834.
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, 943, 123, 378, 441
1. What is the LCM of 853, 943, 123, 378, 441?
Answer: LCM of 853, 943, 123, 378, 441 is 2128386834.
2. How to calculate the LCM of 853, 943, 123, 378, 441?
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, 943, 123, 378, 441.
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}.