Find the LCM of 6401, 6574 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 6401, 6574. So, keep reading to learn more.
Given numbers are 6401,6574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6401,6574 is 243238.
Find LCM of 6401,6574 with Prime Factorization
| 173 | 6401, 6574 |
| 37, 38 |
Multiply the prime numbers at the bottom and the left side.
173 x 37 x 38 = 243238
Therefore, the lowest common multiple of 6401,6574 is 243238.
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.
6401 x 6574 = 42080174
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.
6401 : 1, 37, 173, 6401
6574 : 1, 2, 19, 38, 173, 346, 3287, 6574
173 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6401,6574, is 173.
Now, the common factors can be found like this.
6401:37x 173
6574:2x 19x 173
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 = 42080174/(173x1)
LCM = 42080174/173
LCM = 243238
Thus, we can understand that the LCM of 6401,6574 is 243238.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 6401, 6574?
Answer: LCM of 6401, 6574 is 243238.
2. How to calculate the LCM of 6401, 6574?
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 6401, 6574.
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}.