Find the LCM of 236, 224, 287, 259 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 236, 224, 287, 259. So, keep reading to learn more.
Given numbers are 236,224,287,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 236,224,287,259 is 20048672.
Find LCM of 236,224,287,259 with Prime Factorization
2 | 236, 224, 287, 259 |
2 | 118, 112, 287, 259 |
7 | 59, 56, 287, 259 |
59, 8, 41, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 59 x 8 x 41 x 37 = 20048672
Therefore, the lowest common multiple of 236,224,287,259 is 20048672.
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.
236 x 224 x 287 x 259 = 3929539712
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.
236 : 1, 2, 4, 59, 118, 236
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
287 : 1, 7, 41, 287
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,224,287,259, is 1.
Now, the common factors can be found like this.
236:2x 2x 59
224:2x 2x 2x 2x 2x 7
287:7x 41
259:7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 3929539712/(1x196)
LCM = 3929539712/196
LCM = 20048672
Thus, we can understand that the LCM of 236,224,287,259 is 20048672.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 236, 224, 287, 259?
Answer: LCM of 236, 224, 287, 259 is 20048672.
2. How to calculate the LCM of 236, 224, 287, 259?
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 236, 224, 287, 259.
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}.