LCM of 804, 289, 770, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 804, 289, 770, 560 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, 289, 770, 560. So, keep reading to learn more.
Given numbers are 804,289,770,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,289,770,560 is 357828240.
Find LCM of 804,289,770,560 with Prime Factorization
| 2 | 804, 289, 770, 560 |
| 2 | 402, 289, 385, 280 |
| 5 | 201, 289, 385, 140 |
| 7 | 201, 289, 77, 28 |
| 201, 289, 11, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 201 x 289 x 11 x 4 = 357828240
Therefore, the lowest common multiple of 804,289,770,560 is 357828240.
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 289 x 770 x 560 = 100191907200
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
289 : 1, 17, 289
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,289,770,560, is 1.
Now, the common factors can be found like this.
804:2x 2x 3x 67
289:17x 17
770:2x 5x 7x 11
560:2x 2x 2x 2x 5x 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 2x 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 100191907200/(1x280)
LCM = 100191907200/280
LCM = 357828240
Thus, we can understand that the LCM of 804,289,770,560 is 357828240.
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FAQs on LCM of 804, 289, 770, 560
1. What is the LCM of 804, 289, 770, 560?
Answer: LCM of 804, 289, 770, 560 is 357828240.
2. How to calculate the LCM of 804, 289, 770, 560?
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, 289, 770, 560.
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}.