Find the LCM of 824, 892, 352, 288 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 824, 892, 352, 288. So, keep reading to learn more.
Given numbers are 824,892,352,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,892,352,288 is 72765792.
Find LCM of 824,892,352,288 with Prime Factorization
2 | 824, 892, 352, 288 |
2 | 412, 446, 176, 144 |
2 | 206, 223, 88, 72 |
2 | 103, 223, 44, 36 |
2 | 103, 223, 22, 18 |
103, 223, 11, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 103 x 223 x 11 x 9 = 72765792
Therefore, the lowest common multiple of 824,892,352,288 is 72765792.
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.
824 x 892 x 352 x 288 = 74512171008
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
892 : 1, 2, 4, 223, 446, 892
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,892,352,288, is 4.
Now, the common factors can be found like this.
824:2x 2x 2x 103
892:2x 2x 223
352:2x 2x 2x 2x 2x 11
288:2x 2x 2x 2x 2x 3x 3
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 2x 2x 2x 2 = 256
Therefore, the value for common factors is 256.
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 = 74512171008/(4x256)
LCM = 74512171008/1024
LCM = 72765792
Thus, we can understand that the LCM of 824,892,352,288 is 72765792.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 824, 892, 352, 288?
Answer: LCM of 824, 892, 352, 288 is 72765792.
2. How to calculate the LCM of 824, 892, 352, 288?
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 824, 892, 352, 288.
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}.