Find the LCM of 288, 859, 859, 367 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 288, 859, 859, 367. So, keep reading to learn more.
Given numbers are 288,859,859,367
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,859,859,367 is 90792864.
Find LCM of 288,859,859,367 with Prime Factorization
859 | 288, 859, 859, 367 |
288, 1, 1, 367 |
Multiply the prime numbers at the bottom and the left side.
859 x 288 x 1 x 1 x 367 = 90792864
Therefore, the lowest common multiple of 288,859,859,367 is 90792864.
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.
288 x 859 x 859 x 367 = 77991070176
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
859 : 1, 859
859 : 1, 859
367 : 1, 367
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,859,859,367, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
859:859
859:859
367:367
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
859 = 859
Therefore, the value for common factors is 859.
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 = 77991070176/(1x859)
LCM = 77991070176/859
LCM = 90792864
Thus, we can understand that the LCM of 288,859,859,367 is 90792864.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 288, 859, 859, 367?
Answer: LCM of 288, 859, 859, 367 is 90792864.
2. How to calculate the LCM of 288, 859, 859, 367?
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 288, 859, 859, 367.
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}.