Find the LCM of 1683, 2567 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 1683, 2567. So, keep reading to learn more.
Given numbers are 1683,2567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1683,2567 is 254133.
Find LCM of 1683,2567 with Prime Factorization
| 17 | 1683, 2567 |
| 99, 151 |
Multiply the prime numbers at the bottom and the left side.
17 x 99 x 151 = 254133
Therefore, the lowest common multiple of 1683,2567 is 254133.
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.
1683 x 2567 = 4320261
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.
1683 : 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683
2567 : 1, 17, 151, 2567
17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1683,2567, is 17.
Now, the common factors can be found like this.
1683:3x 3x 11x 17
2567:17x 151
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 = 4320261/(17x1)
LCM = 4320261/17
LCM = 254133
Thus, we can understand that the LCM of 1683,2567 is 254133.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1683, 2567?
Answer: LCM of 1683, 2567 is 254133.
2. How to calculate the LCM of 1683, 2567?
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 1683, 2567.
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}.