Find the LCM of 481, 143, 304, 703 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 481, 143, 304, 703. So, keep reading to learn more.
Given numbers are 481,143,304,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,143,304,703 is 1608464.
Find LCM of 481,143,304,703 with Prime Factorization
13 | 481, 143, 304, 703 |
19 | 37, 11, 304, 703 |
37 | 37, 11, 16, 37 |
1, 11, 16, 1 |
Multiply the prime numbers at the bottom and the left side.
13 x 19 x 37 x 1 x 11 x 16 x 1 = 1608464
Therefore, the lowest common multiple of 481,143,304,703 is 1608464.
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.
481 x 143 x 304 x 703 = 14699752496
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.
481 : 1, 13, 37, 481
143 : 1, 11, 13, 143
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,143,304,703, is 1.
Now, the common factors can be found like this.
481:13x 37
143:11x 13
304:2x 2x 2x 2x 19
703:19x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 19x 37 = 9139
Therefore, the value for common factors is 9139.
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 = 14699752496/(1x9139)
LCM = 14699752496/9139
LCM = 1608464
Thus, we can understand that the LCM of 481,143,304,703 is 1608464.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 481, 143, 304, 703?
Answer: LCM of 481, 143, 304, 703 is 1608464.
2. How to calculate the LCM of 481, 143, 304, 703?
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 481, 143, 304, 703.
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}.