Find the LCM of 2249, 3471 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 2249, 3471. So, keep reading to learn more.
Given numbers are 2249,3471
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 2249,3471 is 600483.
Find LCM of 2249,3471 with Prime Factorization
| 13 | 2249, 3471 |
| 173, 267 |
Multiply the prime numbers at the bottom and the left side.
13 x 173 x 267 = 600483
Therefore, the lowest common multiple of 2249,3471 is 600483.
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.
2249 x 3471 = 7806279
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.
2249 : 1, 13, 173, 2249
3471 : 1, 3, 13, 39, 89, 267, 1157, 3471
13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2249,3471, is 13.
Now, the common factors can be found like this.
2249:13x 173
3471:3x 13x 89
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 = 7806279/(13x1)
LCM = 7806279/13
LCM = 600483
Thus, we can understand that the LCM of 2249,3471 is 600483.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 2249, 3471?
Answer: LCM of 2249, 3471 is 600483.
2. How to calculate the LCM of 2249, 3471?
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 2249, 3471.
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}.