Find the LCM of 724, 462, 287, 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 724, 462, 287, 448. So, keep reading to learn more.
Given numbers are 724,462,287,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,462,287,448 is 109712064.
Find LCM of 724,462,287,448 with Prime Factorization
2 | 724, 462, 287, 448 |
2 | 362, 231, 287, 224 |
7 | 181, 231, 287, 112 |
181, 33, 41, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 181 x 33 x 41 x 16 = 109712064
Therefore, the lowest common multiple of 724,462,287,448 is 109712064.
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.
724 x 462 x 287 x 448 = 43007129088
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.
724 : 1, 2, 4, 181, 362, 724
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
287 : 1, 7, 41, 287
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,462,287,448, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
462:2x 3x 7x 11
287:7x 41
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 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 43007129088/(1x392)
LCM = 43007129088/392
LCM = 109712064
Thus, we can understand that the LCM of 724,462,287,448 is 109712064.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 724, 462, 287, 448?
Answer: LCM of 724, 462, 287, 448 is 109712064.
2. How to calculate the LCM of 724, 462, 287, 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 724, 462, 287, 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}.