LCM of 344, 923, 362, 833, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 344, 923, 362, 833, 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 344, 923, 362, 833, 884. So, keep reading to learn more.
Given numbers are 344,923,362,833,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 344,923,362,833,884 is 47872236776.
Find LCM of 344,923,362,833,884 with Prime Factorization
| 2 | 344, 923, 362, 833, 884 |
| 2 | 172, 923, 181, 833, 442 |
| 13 | 86, 923, 181, 833, 221 |
| 17 | 86, 71, 181, 833, 17 |
| 86, 71, 181, 49, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 86 x 71 x 181 x 49 x 1 = 47872236776
Therefore, the lowest common multiple of 344,923,362,833,884 is 47872236776.
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.
344 x 923 x 362 x 833 x 884 = 84638114619968
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.
344 : 1, 2, 4, 8, 43, 86, 172, 344
923 : 1, 13, 71, 923
362 : 1, 2, 181, 362
833 : 1, 7, 17, 49, 119, 833
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 344,923,362,833,884, is 1.
Now, the common factors can be found like this.
344:2x 2x 2x 43
923:13x 71
362:2x 181
833:7x 7x 17
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 13x 17 = 1768
Therefore, the value for common factors is 1768.
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 = 84638114619968/(1x1768)
LCM = 84638114619968/1768
LCM = 47872236776
Thus, we can understand that the LCM of 344,923,362,833,884 is 47872236776.
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FAQs on LCM of 344, 923, 362, 833, 884
1. What is the LCM of 344, 923, 362, 833, 884?
Answer: LCM of 344, 923, 362, 833, 884 is 47872236776.
2. How to calculate the LCM of 344, 923, 362, 833, 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 344, 923, 362, 833, 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}.