LCM of 437, 494, 738, 171, 934
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 494, 738, 171, 934 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 437, 494, 738, 171, 934. So, keep reading to learn more.
Given numbers are 437,494,738,171,934
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,494,738,171,934 is 1957933926.
Find LCM of 437,494,738,171,934 with Prime Factorization
| 2 | 437, 494, 738, 171, 934 |
| 3 | 437, 247, 369, 171, 467 |
| 3 | 437, 247, 123, 57, 467 |
| 19 | 437, 247, 41, 19, 467 |
| 23, 13, 41, 1, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 23 x 13 x 41 x 1 x 467 = 1957933926
Therefore, the lowest common multiple of 437,494,738,171,934 is 1957933926.
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.
437 x 494 x 738 x 171 x 934 = 25445309302296
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.
437 : 1, 19, 23, 437
494 : 1, 2, 13, 19, 26, 38, 247, 494
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
171 : 1, 3, 9, 19, 57, 171
934 : 1, 2, 467, 934
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,494,738,171,934, is 1.
Now, the common factors can be found like this.
437:19x 23
494:2x 13x 19
738:2x 3x 3x 41
171:3x 3x 19
934:2x 467
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 3x 3x 19x 19 = 12996
Therefore, the value for common factors is 12996.
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 = 25445309302296/(1x12996)
LCM = 25445309302296/12996
LCM = 1957933926
Thus, we can understand that the LCM of 437,494,738,171,934 is 1957933926.
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FAQs on LCM of 437, 494, 738, 171, 934
1. What is the LCM of 437, 494, 738, 171, 934?
Answer: LCM of 437, 494, 738, 171, 934 is 1957933926.
2. How to calculate the LCM of 437, 494, 738, 171, 934?
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 437, 494, 738, 171, 934.
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}.