Find the LCM of 9827, 3503 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 9827, 3503. So, keep reading to learn more.
Given numbers are 9827,3503
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9827,3503 is 1110451.
Find LCM of 9827,3503 with Prime Factorization
| 31 | 9827, 3503 |
| 317, 113 |
Multiply the prime numbers at the bottom and the left side.
31 x 317 x 113 = 1110451
Therefore, the lowest common multiple of 9827,3503 is 1110451.
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.
9827 x 3503 = 34423981
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.
9827 : 1, 31, 317, 9827
3503 : 1, 31, 113, 3503
31 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9827,3503, is 31.
Now, the common factors can be found like this.
9827:31x 317
3503:31x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 34423981/(31x1)
LCM = 34423981/31
LCM = 1110451
Thus, we can understand that the LCM of 9827,3503 is 1110451.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9827, 3503?
Answer: LCM of 9827, 3503 is 1110451.
2. How to calculate the LCM of 9827, 3503?
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 9827, 3503.
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}.