Find the LCM of 590, 598, 337, 923 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 590, 598, 337, 923. So, keep reading to learn more.
Given numbers are 590,598,337,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 590,598,337,923 is 4220962070.
Find LCM of 590,598,337,923 with Prime Factorization
2 | 590, 598, 337, 923 |
13 | 295, 299, 337, 923 |
295, 23, 337, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 295 x 23 x 337 x 71 = 4220962070
Therefore, the lowest common multiple of 590,598,337,923 is 4220962070.
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.
590 x 598 x 337 x 923 = 109745013820
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.
590 : 1, 2, 5, 10, 59, 118, 295, 590
598 : 1, 2, 13, 23, 26, 46, 299, 598
337 : 1, 337
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,598,337,923, is 1.
Now, the common factors can be found like this.
590:2x 5x 59
598:2x 13x 23
337:337
923:13x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 109745013820/(1x26)
LCM = 109745013820/26
LCM = 4220962070
Thus, we can understand that the LCM of 590,598,337,923 is 4220962070.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 590, 598, 337, 923?
Answer: LCM of 590, 598, 337, 923 is 4220962070.
2. How to calculate the LCM of 590, 598, 337, 923?
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 590, 598, 337, 923.
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}.