LCM of 804, 209, 737, 799
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 804, 209, 737, 799 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 804, 209, 737, 799. So, keep reading to learn more.
Given numbers are 804,209,737,799
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,209,737,799 is 134260764.
Find LCM of 804,209,737,799 with Prime Factorization
| 11 | 804, 209, 737, 799 |
| 67 | 804, 19, 67, 799 |
| 12, 19, 1, 799 |
Multiply the prime numbers at the bottom and the left side.
11 x 67 x 12 x 19 x 1 x 799 = 134260764
Therefore, the lowest common multiple of 804,209,737,799 is 134260764.
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.
804 x 209 x 737 x 799 = 98950183068
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.
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
209 : 1, 11, 19, 209
737 : 1, 11, 67, 737
799 : 1, 17, 47, 799
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,209,737,799, is 1.
Now, the common factors can be found like this.
804:2x 2x 3x 67
209:11x 19
737:11x 67
799:17x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 67 = 737
Therefore, the value for common factors is 737.
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 = 98950183068/(1x737)
LCM = 98950183068/737
LCM = 134260764
Thus, we can understand that the LCM of 804,209,737,799 is 134260764.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 804, 209, 737, 799
1. What is the LCM of 804, 209, 737, 799?
Answer: LCM of 804, 209, 737, 799 is 134260764.
2. How to calculate the LCM of 804, 209, 737, 799?
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 804, 209, 737, 799.
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}.