LCM of 737, 574, 494, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 574, 494, 717 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, 574, 494, 717. So, keep reading to learn more.
Given numbers are 737,574,494,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,574,494,717 is 74919606762.
Find LCM of 737,574,494,717 with Prime Factorization
| 2 | 737, 574, 494, 717 |
| 737, 287, 247, 717 |
Multiply the prime numbers at the bottom and the left side.
2 x 737 x 287 x 247 x 717 = 74919606762
Therefore, the lowest common multiple of 737,574,494,717 is 74919606762.
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 574 x 494 x 717 = 149839213524
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
574 : 1, 2, 7, 14, 41, 82, 287, 574
494 : 1, 2, 13, 19, 26, 38, 247, 494
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,574,494,717, is 1.
Now, the common factors can be found like this.
737:11x 67
574:2x 7x 41
494:2x 13x 19
717:3x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 149839213524/(1x2)
LCM = 149839213524/2
LCM = 74919606762
Thus, we can understand that the LCM of 737,574,494,717 is 74919606762.
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FAQs on LCM of 737, 574, 494, 717
1. What is the LCM of 737, 574, 494, 717?
Answer: LCM of 737, 574, 494, 717 is 74919606762.
2. How to calculate the LCM of 737, 574, 494, 717?
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, 574, 494, 717.
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}.