Find the LCM of 511, 359, 388, 668, 776 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 511, 359, 388, 668, 776. So, keep reading to learn more.
Given numbers are 511,359,388,668,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,359,388,668,776 is 23773522808.
Find LCM of 511,359,388,668,776 with Prime Factorization
2 | 511, 359, 388, 668, 776 |
2 | 511, 359, 194, 334, 388 |
97 | 511, 359, 97, 167, 194 |
511, 359, 1, 167, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 97 x 511 x 359 x 1 x 167 x 2 = 23773522808
Therefore, the lowest common multiple of 511,359,388,668,776 is 23773522808.
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.
511 x 359 x 388 x 668 x 776 = 36896507398016
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.
511 : 1, 7, 73, 511
359 : 1, 359
388 : 1, 2, 4, 97, 194, 388
668 : 1, 2, 4, 167, 334, 668
776 : 1, 2, 4, 8, 97, 194, 388, 776
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,359,388,668,776, is 1.
Now, the common factors can be found like this.
511:7x 73
359:359
388:2x 2x 97
668:2x 2x 167
776:2x 2x 2x 97
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 2x 97 = 1552
Therefore, the value for common factors is 1552.
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 = 36896507398016/(1x1552)
LCM = 36896507398016/1552
LCM = 23773522808
Thus, we can understand that the LCM of 511,359,388,668,776 is 23773522808.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 511, 359, 388, 668, 776?
Answer: LCM of 511, 359, 388, 668, 776 is 23773522808.
2. How to calculate the LCM of 511, 359, 388, 668, 776?
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 511, 359, 388, 668, 776.
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}.