Find the LCM of 7463, 1683 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 7463, 1683. So, keep reading to learn more.
Given numbers are 7463,1683
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 7463,1683 is 738837.
Find LCM of 7463,1683 with Prime Factorization
| 17 | 7463, 1683 |
| 439, 99 |
Multiply the prime numbers at the bottom and the left side.
17 x 439 x 99 = 738837
Therefore, the lowest common multiple of 7463,1683 is 738837.
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.
7463 x 1683 = 12560229
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.
7463 : 1, 17, 439, 7463
1683 : 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683
17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7463,1683, is 17.
Now, the common factors can be found like this.
7463:17x 439
1683:3x 3x 11x 17
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 = 12560229/(17x1)
LCM = 12560229/17
LCM = 738837
Thus, we can understand that the LCM of 7463,1683 is 738837.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 7463, 1683?
Answer: LCM of 7463, 1683 is 738837.
2. How to calculate the LCM of 7463, 1683?
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 7463, 1683.
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}.