LCM of 596, 364, 427, 845, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 364, 427, 845, 884 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 596, 364, 427, 845, 884. So, keep reading to learn more.
Given numbers are 596,364,427,845,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,364,427,845,884 is 3655777580.
Find LCM of 596,364,427,845,884 with Prime Factorization
| 2 | 596, 364, 427, 845, 884 |
| 2 | 298, 182, 427, 845, 442 |
| 7 | 149, 91, 427, 845, 221 |
| 13 | 149, 13, 61, 845, 221 |
| 149, 1, 61, 65, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 149 x 1 x 61 x 65 x 17 = 3655777580
Therefore, the lowest common multiple of 596,364,427,845,884 is 3655777580.
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.
596 x 364 x 427 x 845 x 884 = 69196558034240
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.
596 : 1, 2, 4, 149, 298, 596
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
427 : 1, 7, 61, 427
845 : 1, 5, 13, 65, 169, 845
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,364,427,845,884, is 1.
Now, the common factors can be found like this.
596:2x 2x 149
364:2x 2x 7x 13
427:7x 61
845:5x 13x 13
884:2x 2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 7x 13x 13 = 18928
Therefore, the value for common factors is 18928.
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 = 69196558034240/(1x18928)
LCM = 69196558034240/18928
LCM = 3655777580
Thus, we can understand that the LCM of 596,364,427,845,884 is 3655777580.
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FAQs on LCM of 596, 364, 427, 845, 884
1. What is the LCM of 596, 364, 427, 845, 884?
Answer: LCM of 596, 364, 427, 845, 884 is 3655777580.
2. How to calculate the LCM of 596, 364, 427, 845, 884?
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 596, 364, 427, 845, 884.
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}.