Find the LCM of 46, 43, 23, 43, 843 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 46, 43, 23, 43, 843. So, keep reading to learn more.
Given numbers are 46,43,23,43,843
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 46,43,23,43,843 is 1667454.
Find LCM of 46,43,23,43,843 with Prime Factorization
23 | 46, 43, 23, 43, 843 |
43 | 2, 43, 1, 43, 843 |
2, 1, 1, 1, 843 |
Multiply the prime numbers at the bottom and the left side.
23 x 43 x 2 x 1 x 1 x 1 x 843 = 1667454
Therefore, the lowest common multiple of 46,43,23,43,843 is 1667454.
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.
46 x 43 x 23 x 43 x 843 = 1649112006
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.
46 : 1, 2, 23, 46
43 : 1, 43
23 : 1, 23
43 : 1, 43
843 : 1, 3, 281, 843
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 46,43,23,43,843, is 1.
Now, the common factors can be found like this.
46:2x 23
43:43
23:23
43:43
843:3x 281
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 43 = 989
Therefore, the value for common factors is 989.
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 = 1649112006/(1x989)
LCM = 1649112006/989
LCM = 1667454
Thus, we can understand that the LCM of 46,43,23,43,843 is 1667454.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 46, 43, 23, 43, 843?
Answer: LCM of 46, 43, 23, 43, 843 is 1667454.
2. How to calculate the LCM of 46, 43, 23, 43, 843?
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 46, 43, 23, 43, 843.
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}.