Find the LCM of 843, 246, 406, 228, 633 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 843, 246, 406, 228, 633. So, keep reading to learn more.
Given numbers are 843,246,406,228,633
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,246,406,228,633 is 112513210404.
Find LCM of 843,246,406,228,633 with Prime Factorization
2 | 843, 246, 406, 228, 633 |
3 | 843, 123, 203, 114, 633 |
281, 41, 203, 38, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 281 x 41 x 203 x 38 x 211 = 112513210404
Therefore, the lowest common multiple of 843,246,406,228,633 is 112513210404.
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.
843 x 246 x 406 x 228 x 633 = 12151426723632
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.
843 : 1, 3, 281, 843
246 : 1, 2, 3, 6, 41, 82, 123, 246
406 : 1, 2, 7, 14, 29, 58, 203, 406
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
633 : 1, 3, 211, 633
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,246,406,228,633, is 1.
Now, the common factors can be found like this.
843:3x 281
246:2x 3x 41
406:2x 7x 29
228:2x 2x 3x 19
633:3x 211
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 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 12151426723632/(1x108)
LCM = 12151426723632/108
LCM = 112513210404
Thus, we can understand that the LCM of 843,246,406,228,633 is 112513210404.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 843, 246, 406, 228, 633?
Answer: LCM of 843, 246, 406, 228, 633 is 112513210404.
2. How to calculate the LCM of 843, 246, 406, 228, 633?
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 843, 246, 406, 228, 633.
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}.