LCM of 507, 737, 804, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 737, 804, 417 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 507, 737, 804, 417. So, keep reading to learn more.
Given numbers are 507,737,804,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,737,804,417 is 207754404.
Find LCM of 507,737,804,417 with Prime Factorization
| 3 | 507, 737, 804, 417 |
| 67 | 169, 737, 268, 139 |
| 169, 11, 4, 139 |
Multiply the prime numbers at the bottom and the left side.
3 x 67 x 169 x 11 x 4 x 139 = 207754404
Therefore, the lowest common multiple of 507,737,804,417 is 207754404.
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.
507 x 737 x 804 x 417 = 125275905612
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.
507 : 1, 3, 13, 39, 169, 507
737 : 1, 11, 67, 737
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,737,804,417, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
737:11x 67
804:2x 2x 3x 67
417:3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 67 = 603
Therefore, the value for common factors is 603.
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 = 125275905612/(1x603)
LCM = 125275905612/603
LCM = 207754404
Thus, we can understand that the LCM of 507,737,804,417 is 207754404.
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FAQs on LCM of 507, 737, 804, 417
1. What is the LCM of 507, 737, 804, 417?
Answer: LCM of 507, 737, 804, 417 is 207754404.
2. How to calculate the LCM of 507, 737, 804, 417?
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 507, 737, 804, 417.
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}.