Find the LCM of 493, 633, 742, 844 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 493, 633, 742, 844. So, keep reading to learn more.
Given numbers are 493,633,742,844
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,633,742,844 is 463110396.
Find LCM of 493,633,742,844 with Prime Factorization
2 | 493, 633, 742, 844 |
211 | 493, 633, 371, 422 |
493, 3, 371, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 211 x 493 x 3 x 371 x 2 = 463110396
Therefore, the lowest common multiple of 493,633,742,844 is 463110396.
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.
493 x 633 x 742 x 844 = 195432587112
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.
493 : 1, 17, 29, 493
633 : 1, 3, 211, 633
742 : 1, 2, 7, 14, 53, 106, 371, 742
844 : 1, 2, 4, 211, 422, 844
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,633,742,844, is 1.
Now, the common factors can be found like this.
493:17x 29
633:3x 211
742:2x 7x 53
844:2x 2x 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 211 = 422
Therefore, the value for common factors is 422.
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 = 195432587112/(1x422)
LCM = 195432587112/422
LCM = 463110396
Thus, we can understand that the LCM of 493,633,742,844 is 463110396.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 493, 633, 742, 844?
Answer: LCM of 493, 633, 742, 844 is 463110396.
2. How to calculate the LCM of 493, 633, 742, 844?
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 493, 633, 742, 844.
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}.