Find the LCM of 460, 510, 388, 448 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 460, 510, 388, 448. So, keep reading to learn more.
Given numbers are 460,510,388,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,510,388,448 is 254869440.
Find LCM of 460,510,388,448 with Prime Factorization
2 | 460, 510, 388, 448 |
2 | 230, 255, 194, 224 |
5 | 115, 255, 97, 112 |
23, 51, 97, 112 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 51 x 97 x 112 = 254869440
Therefore, the lowest common multiple of 460,510,388,448 is 254869440.
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.
460 x 510 x 388 x 448 = 40779110400
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
388 : 1, 2, 4, 97, 194, 388
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,510,388,448, is 2.
Now, the common factors can be found like this.
460:2x 2x 5x 23
510:2x 3x 5x 17
388:2x 2x 97
448:2x 2x 2x 2x 2x 2x 7
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 2x 2x 5 = 80
Therefore, the value for common factors is 80.
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 = 40779110400/(2x80)
LCM = 40779110400/160
LCM = 254869440
Thus, we can understand that the LCM of 460,510,388,448 is 254869440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 460, 510, 388, 448?
Answer: LCM of 460, 510, 388, 448 is 254869440.
2. How to calculate the LCM of 460, 510, 388, 448?
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 460, 510, 388, 448.
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}.