Find the LCM of 321, 347, 598, 559, 713 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 321, 347, 598, 559, 713. So, keep reading to learn more.
Given numbers are 321,347,598,559,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,347,598,559,713 is 88790364858.
Find LCM of 321,347,598,559,713 with Prime Factorization
13 | 321, 347, 598, 559, 713 |
23 | 321, 347, 46, 43, 713 |
321, 347, 2, 43, 31 |
Multiply the prime numbers at the bottom and the left side.
13 x 23 x 321 x 347 x 2 x 43 x 31 = 88790364858
Therefore, the lowest common multiple of 321,347,598,559,713 is 88790364858.
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.
321 x 347 x 598 x 559 x 713 = 26548319092542
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.
321 : 1, 3, 107, 321
347 : 1, 347
598 : 1, 2, 13, 23, 26, 46, 299, 598
559 : 1, 13, 43, 559
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,347,598,559,713, is 1.
Now, the common factors can be found like this.
321:3x 107
347:347
598:2x 13x 23
559:13x 43
713:23x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 23 = 299
Therefore, the value for common factors is 299.
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 = 26548319092542/(1x299)
LCM = 26548319092542/299
LCM = 88790364858
Thus, we can understand that the LCM of 321,347,598,559,713 is 88790364858.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 347, 598, 559, 713?
Answer: LCM of 321, 347, 598, 559, 713 is 88790364858.
2. How to calculate the LCM of 321, 347, 598, 559, 713?
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 321, 347, 598, 559, 713.
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}.