LCM of 442, 559, 323, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 559, 323, 591 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 442, 559, 323, 591. So, keep reading to learn more.
Given numbers are 442,559,323,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,559,323,591 is 213418374.
Find LCM of 442,559,323,591 with Prime Factorization
| 13 | 442, 559, 323, 591 |
| 17 | 34, 43, 323, 591 |
| 2, 43, 19, 591 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 2 x 43 x 19 x 591 = 213418374
Therefore, the lowest common multiple of 442,559,323,591 is 213418374.
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.
442 x 559 x 323 x 591 = 47165460654
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.
442 : 1, 2, 13, 17, 26, 34, 221, 442
559 : 1, 13, 43, 559
323 : 1, 17, 19, 323
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,559,323,591, is 1.
Now, the common factors can be found like this.
442:2x 13x 17
559:13x 43
323:17x 19
591:3x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 47165460654/(1x221)
LCM = 47165460654/221
LCM = 213418374
Thus, we can understand that the LCM of 442,559,323,591 is 213418374.
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FAQs on LCM of 442, 559, 323, 591
1. What is the LCM of 442, 559, 323, 591?
Answer: LCM of 442, 559, 323, 591 is 213418374.
2. How to calculate the LCM of 442, 559, 323, 591?
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 442, 559, 323, 591.
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}.