LCM of 737, 938, 726, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 938, 726, 504 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 737, 938, 726, 504. So, keep reading to learn more.
Given numbers are 737,938,726,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,938,726,504 is 4085928.
Find LCM of 737,938,726,504 with Prime Factorization
| 2 | 737, 938, 726, 504 |
| 3 | 737, 469, 363, 252 |
| 7 | 737, 469, 121, 84 |
| 11 | 737, 67, 121, 12 |
| 67 | 67, 67, 11, 12 |
| 1, 1, 11, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 67 x 1 x 1 x 11 x 12 = 4085928
Therefore, the lowest common multiple of 737,938,726,504 is 4085928.
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.
737 x 938 x 726 x 504 = 252951630624
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.
737 : 1, 11, 67, 737
938 : 1, 2, 7, 14, 67, 134, 469, 938
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,938,726,504, is 1.
Now, the common factors can be found like this.
737:11x 67
938:2x 7x 67
726:2x 3x 11x 11
504:2x 2x 2x 3x 3x 7
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 7x 11x 67 = 61908
Therefore, the value for common factors is 61908.
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 = 252951630624/(1x61908)
LCM = 252951630624/61908
LCM = 4085928
Thus, we can understand that the LCM of 737,938,726,504 is 4085928.
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FAQs on LCM of 737, 938, 726, 504
1. What is the LCM of 737, 938, 726, 504?
Answer: LCM of 737, 938, 726, 504 is 4085928.
2. How to calculate the LCM of 737, 938, 726, 504?
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 737, 938, 726, 504.
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}.