Find the LCM of 288, 792, 794, 274 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, 792, 794, 274. So, keep reading to learn more.
Given numbers are 288,792,794,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,792,794,274 is 172304352.
Find LCM of 288,792,794,274 with Prime Factorization
2 | 288, 792, 794, 274 |
2 | 144, 396, 397, 137 |
2 | 72, 198, 397, 137 |
3 | 36, 99, 397, 137 |
3 | 12, 33, 397, 137 |
4, 11, 397, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 4 x 11 x 397 x 137 = 172304352
Therefore, the lowest common multiple of 288,792,794,274 is 172304352.
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 792 x 794 x 274 = 49623653376
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
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
794 : 1, 2, 397, 794
274 : 1, 2, 137, 274
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,792,794,274, is 2.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
792:2x 2x 2x 3x 3x 11
794:2x 397
274:2x 137
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 49623653376/(2x144)
LCM = 49623653376/288
LCM = 172304352
Thus, we can understand that the LCM of 288,792,794,274 is 172304352.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 288, 792, 794, 274?
Answer: LCM of 288, 792, 794, 274 is 172304352.
2. How to calculate the LCM of 288, 792, 794, 274?
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, 792, 794, 274.
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}.