Find the LCM of 396, 738, 268, 303, 279 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 396, 738, 268, 303, 279. So, keep reading to learn more.
Given numbers are 396,738,268,303,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,738,268,303,279 is 3405939372.
Find LCM of 396,738,268,303,279 with Prime Factorization
2 | 396, 738, 268, 303, 279 |
2 | 198, 369, 134, 303, 279 |
3 | 99, 369, 67, 303, 279 |
3 | 33, 123, 67, 101, 93 |
11, 41, 67, 101, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 41 x 67 x 101 x 31 = 3405939372
Therefore, the lowest common multiple of 396,738,268,303,279 is 3405939372.
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.
396 x 738 x 268 x 303 x 279 = 6621146139168
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
268 : 1, 2, 4, 67, 134, 268
303 : 1, 3, 101, 303
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,738,268,303,279, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
738:2x 3x 3x 41
268:2x 2x 67
303:3x 101
279:3x 3x 31
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 3x 3x 3x 3x 3 = 1944
Therefore, the value for common factors is 1944.
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 = 6621146139168/(1x1944)
LCM = 6621146139168/1944
LCM = 3405939372
Thus, we can understand that the LCM of 396,738,268,303,279 is 3405939372.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 396, 738, 268, 303, 279?
Answer: LCM of 396, 738, 268, 303, 279 is 3405939372.
2. How to calculate the LCM of 396, 738, 268, 303, 279?
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 396, 738, 268, 303, 279.
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}.