Find the LCM of 203, 888, 803, 209, 481 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 203, 888, 803, 209, 481. So, keep reading to learn more.
Given numbers are 203,888,803,209,481
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,888,803,209,481 is 35753742024.
Find LCM of 203,888,803,209,481 with Prime Factorization
11 | 203, 888, 803, 209, 481 |
37 | 203, 888, 73, 19, 481 |
203, 24, 73, 19, 13 |
Multiply the prime numbers at the bottom and the left side.
11 x 37 x 203 x 24 x 73 x 19 x 13 = 35753742024
Therefore, the lowest common multiple of 203,888,803,209,481 is 35753742024.
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.
203 x 888 x 803 x 209 x 481 = 14551773003768
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.
203 : 1, 7, 29, 203
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
803 : 1, 11, 73, 803
209 : 1, 11, 19, 209
481 : 1, 13, 37, 481
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,888,803,209,481, is 1.
Now, the common factors can be found like this.
203:7x 29
888:2x 2x 2x 3x 37
803:11x 73
209:11x 19
481:13x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 37 = 407
Therefore, the value for common factors is 407.
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 = 14551773003768/(1x407)
LCM = 14551773003768/407
LCM = 35753742024
Thus, we can understand that the LCM of 203,888,803,209,481 is 35753742024.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 203, 888, 803, 209, 481?
Answer: LCM of 203, 888, 803, 209, 481 is 35753742024.
2. How to calculate the LCM of 203, 888, 803, 209, 481?
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 203, 888, 803, 209, 481.
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}.