Find the LCM of 811, 673, 418, 429, 110 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 811, 673, 418, 429, 110. So, keep reading to learn more.
Given numbers are 811,673,418,429,110
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 811,673,418,429,110 is 44488402530.
Find LCM of 811,673,418,429,110 with Prime Factorization
2 | 811, 673, 418, 429, 110 |
11 | 811, 673, 209, 429, 55 |
811, 673, 19, 39, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 811 x 673 x 19 x 39 x 5 = 44488402530
Therefore, the lowest common multiple of 811,673,418,429,110 is 44488402530.
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.
811 x 673 x 418 x 429 x 110 = 10766193412260
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.
811 : 1, 811
673 : 1, 673
418 : 1, 2, 11, 19, 22, 38, 209, 418
429 : 1, 3, 11, 13, 33, 39, 143, 429
110 : 1, 2, 5, 10, 11, 22, 55, 110
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 811,673,418,429,110, is 1.
Now, the common factors can be found like this.
811:811
673:673
418:2x 11x 19
429:3x 11x 13
110:2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 10766193412260/(1x242)
LCM = 10766193412260/242
LCM = 44488402530
Thus, we can understand that the LCM of 811,673,418,429,110 is 44488402530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 811, 673, 418, 429, 110?
Answer: LCM of 811, 673, 418, 429, 110 is 44488402530.
2. How to calculate the LCM of 811, 673, 418, 429, 110?
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 811, 673, 418, 429, 110.
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}.