LCM of 797, 464, 560, 664
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 464, 560, 664 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 797, 464, 560, 664. So, keep reading to learn more.
Given numbers are 797,464,560,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,464,560,664 is 1074292240.
Find LCM of 797,464,560,664 with Prime Factorization
| 2 | 797, 464, 560, 664 |
| 2 | 797, 232, 280, 332 |
| 2 | 797, 116, 140, 166 |
| 2 | 797, 58, 70, 83 |
| 797, 29, 35, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 797 x 29 x 35 x 83 = 1074292240
Therefore, the lowest common multiple of 797,464,560,664 is 1074292240.
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.
797 x 464 x 560 x 664 = 137509406720
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.
797 : 1, 797
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,464,560,664, is 1.
Now, the common factors can be found like this.
797:797
464:2x 2x 2x 2x 29
560:2x 2x 2x 2x 5x 7
664:2x 2x 2x 83
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 2x 2x 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 137509406720/(1x128)
LCM = 137509406720/128
LCM = 1074292240
Thus, we can understand that the LCM of 797,464,560,664 is 1074292240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 797, 464, 560, 664
1. What is the LCM of 797, 464, 560, 664?
Answer: LCM of 797, 464, 560, 664 is 1074292240.
2. How to calculate the LCM of 797, 464, 560, 664?
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 797, 464, 560, 664.
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}.