Find the LCM of 262, 838, 262, 450, 677 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 262, 838, 262, 450, 677. So, keep reading to learn more.
Given numbers are 262,838,262,450,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 262,838,262,450,677 is 16721933850.
Find LCM of 262,838,262,450,677 with Prime Factorization
2 | 262, 838, 262, 450, 677 |
131 | 131, 419, 131, 225, 677 |
1, 419, 1, 225, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 131 x 1 x 419 x 1 x 225 x 677 = 16721933850
Therefore, the lowest common multiple of 262,838,262,450,677 is 16721933850.
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.
262 x 838 x 262 x 450 x 677 = 17524586674800
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.
262 : 1, 2, 131, 262
838 : 1, 2, 419, 838
262 : 1, 2, 131, 262
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,838,262,450,677, is 1.
Now, the common factors can be found like this.
262:2x 131
838:2x 419
262:2x 131
450:2x 3x 3x 5x 5
677:677
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 2x 131 = 1048
Therefore, the value for common factors is 1048.
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 = 17524586674800/(1x1048)
LCM = 17524586674800/1048
LCM = 16721933850
Thus, we can understand that the LCM of 262,838,262,450,677 is 16721933850.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 262, 838, 262, 450, 677?
Answer: LCM of 262, 838, 262, 450, 677 is 16721933850.
2. How to calculate the LCM of 262, 838, 262, 450, 677?
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 262, 838, 262, 450, 677.
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}.