Find the LCM of 221, 704, 297, 803 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 221, 704, 297, 803. So, keep reading to learn more.
Given numbers are 221,704,297,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,704,297,803 is 306656064.
Find LCM of 221,704,297,803 with Prime Factorization
11 | 221, 704, 297, 803 |
221, 64, 27, 73 |
Multiply the prime numbers at the bottom and the left side.
11 x 221 x 64 x 27 x 73 = 306656064
Therefore, the lowest common multiple of 221,704,297,803 is 306656064.
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.
221 x 704 x 297 x 803 = 37105383744
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.
221 : 1, 13, 17, 221
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
297 : 1, 3, 9, 11, 27, 33, 99, 297
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,704,297,803, is 1.
Now, the common factors can be found like this.
221:13x 17
704:2x 2x 2x 2x 2x 2x 11
297:3x 3x 3x 11
803:11x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 37105383744/(1x121)
LCM = 37105383744/121
LCM = 306656064
Thus, we can understand that the LCM of 221,704,297,803 is 306656064.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 221, 704, 297, 803?
Answer: LCM of 221, 704, 297, 803 is 306656064.
2. How to calculate the LCM of 221, 704, 297, 803?
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 221, 704, 297, 803.
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}.