Find the LCM of 433, 538, 945, 269, 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 433, 538, 945, 269, 633. So, keep reading to learn more.
Given numbers are 433,538,945,269,633
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,538,945,269,633 is 46449862830.
Find LCM of 433,538,945,269,633 with Prime Factorization
3 | 433, 538, 945, 269, 633 |
269 | 433, 538, 315, 269, 211 |
433, 2, 315, 1, 211 |
Multiply the prime numbers at the bottom and the left side.
3 x 269 x 433 x 2 x 315 x 1 x 211 = 46449862830
Therefore, the lowest common multiple of 433,538,945,269,633 is 46449862830.
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.
433 x 538 x 945 x 269 x 633 = 37485039303810
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.
433 : 1, 433
538 : 1, 2, 269, 538
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
269 : 1, 269
633 : 1, 3, 211, 633
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,538,945,269,633, is 1.
Now, the common factors can be found like this.
433:433
538:2x 269
945:3x 3x 3x 5x 7
269:269
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.
3x 269 = 807
Therefore, the value for common factors is 807.
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 = 37485039303810/(1x807)
LCM = 37485039303810/807
LCM = 46449862830
Thus, we can understand that the LCM of 433,538,945,269,633 is 46449862830.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 433, 538, 945, 269, 633?
Answer: LCM of 433, 538, 945, 269, 633 is 46449862830.
2. How to calculate the LCM of 433, 538, 945, 269, 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 433, 538, 945, 269, 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}.