Find the LCM of 223, 460, 299, 325, 264 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 223, 460, 299, 325, 264. So, keep reading to learn more.
Given numbers are 223,460,299,325,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,460,299,325,264 is 440068200.
Find LCM of 223,460,299,325,264 with Prime Factorization
2 | 223, 460, 299, 325, 264 |
2 | 223, 230, 299, 325, 132 |
5 | 223, 115, 299, 325, 66 |
13 | 223, 23, 299, 65, 66 |
23 | 223, 23, 23, 5, 66 |
223, 1, 1, 5, 66 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 23 x 223 x 1 x 1 x 5 x 66 = 440068200
Therefore, the lowest common multiple of 223,460,299,325,264 is 440068200.
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.
223 x 460 x 299 x 325 x 264 = 2631607836000
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.
223 : 1, 223
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
299 : 1, 13, 23, 299
325 : 1, 5, 13, 25, 65, 325
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,460,299,325,264, is 1.
Now, the common factors can be found like this.
223:223
460:2x 2x 5x 23
299:13x 23
325:5x 5x 13
264:2x 2x 2x 3x 11
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 5x 13x 23 = 5980
Therefore, the value for common factors is 5980.
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 = 2631607836000/(1x5980)
LCM = 2631607836000/5980
LCM = 440068200
Thus, we can understand that the LCM of 223,460,299,325,264 is 440068200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 223, 460, 299, 325, 264?
Answer: LCM of 223, 460, 299, 325, 264 is 440068200.
2. How to calculate the LCM of 223, 460, 299, 325, 264?
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 223, 460, 299, 325, 264.
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}.