Find the LCM of 263, 385, 414, 190, 493 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 263, 385, 414, 190, 493. So, keep reading to learn more.
Given numbers are 263,385,414,190,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 263,385,414,190,493 is 392660612190.
Find LCM of 263,385,414,190,493 with Prime Factorization
2 | 263, 385, 414, 190, 493 |
5 | 263, 385, 207, 95, 493 |
263, 77, 207, 19, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 263 x 77 x 207 x 19 x 493 = 392660612190
Therefore, the lowest common multiple of 263,385,414,190,493 is 392660612190.
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.
263 x 385 x 414 x 190 x 493 = 3926606121900
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.
263 : 1, 263
385 : 1, 5, 7, 11, 35, 55, 77, 385
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
190 : 1, 2, 5, 10, 19, 38, 95, 190
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,385,414,190,493, is 1.
Now, the common factors can be found like this.
263:263
385:5x 7x 11
414:2x 3x 3x 23
190:2x 5x 19
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 3926606121900/(1x10)
LCM = 3926606121900/10
LCM = 392660612190
Thus, we can understand that the LCM of 263,385,414,190,493 is 392660612190.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 263, 385, 414, 190, 493?
Answer: LCM of 263, 385, 414, 190, 493 is 392660612190.
2. How to calculate the LCM of 263, 385, 414, 190, 493?
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 263, 385, 414, 190, 493.
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}.