Find the LCM of 216, 494, 927, 238 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 216, 494, 927, 238. So, keep reading to learn more.
Given numbers are 216,494,927,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,494,927,238 is 653935464.
Find LCM of 216,494,927,238 with Prime Factorization
2 | 216, 494, 927, 238 |
3 | 108, 247, 927, 119 |
3 | 36, 247, 309, 119 |
12, 247, 103, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 12 x 247 x 103 x 119 = 653935464
Therefore, the lowest common multiple of 216,494,927,238 is 653935464.
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.
216 x 494 x 927 x 238 = 23541676704
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
494 : 1, 2, 13, 19, 26, 38, 247, 494
927 : 1, 3, 9, 103, 309, 927
238 : 1, 2, 7, 14, 17, 34, 119, 238
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,494,927,238, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
494:2x 13x 19
927:3x 3x 103
238:2x 7x 17
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 23541676704/(1x36)
LCM = 23541676704/36
LCM = 653935464
Thus, we can understand that the LCM of 216,494,927,238 is 653935464.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 216, 494, 927, 238?
Answer: LCM of 216, 494, 927, 238 is 653935464.
2. How to calculate the LCM of 216, 494, 927, 238?
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 216, 494, 927, 238.
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}.