Find the LCM of 9628, 1943 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 9628, 1943. So, keep reading to learn more.
Given numbers are 9628,1943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9628,1943 is 645076.
Find LCM of 9628,1943 with Prime Factorization
| 29 | 9628, 1943 |
| 332, 67 |
Multiply the prime numbers at the bottom and the left side.
29 x 332 x 67 = 645076
Therefore, the lowest common multiple of 9628,1943 is 645076.
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.
9628 x 1943 = 18707204
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.
9628 : 1, 2, 4, 29, 58, 83, 116, 166, 332, 2407, 4814, 9628
1943 : 1, 29, 67, 1943
29 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9628,1943, is 29.
Now, the common factors can be found like this.
9628:2x 2x 29x 83
1943:29x 67
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 = 18707204/(29x1)
LCM = 18707204/29
LCM = 645076
Thus, we can understand that the LCM of 9628,1943 is 645076.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 9628, 1943?
Answer: LCM of 9628, 1943 is 645076.
2. How to calculate the LCM of 9628, 1943?
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 9628, 1943.
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}.