LCM of 769, 986, 686, 833
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 769, 986, 686, 833 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 769, 986, 686, 833. So, keep reading to learn more.
Given numbers are 769,986,686,833
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,986,686,833 is 260074262.
Find LCM of 769,986,686,833 with Prime Factorization
| 2 | 769, 986, 686, 833 |
| 7 | 769, 493, 343, 833 |
| 7 | 769, 493, 49, 119 |
| 17 | 769, 493, 7, 17 |
| 769, 29, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 7 x 17 x 769 x 29 x 7 x 1 = 260074262
Therefore, the lowest common multiple of 769,986,686,833 is 260074262.
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.
769 x 986 x 686 x 833 = 433283720492
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.
769 : 1, 769
986 : 1, 2, 17, 29, 34, 58, 493, 986
686 : 1, 2, 7, 14, 49, 98, 343, 686
833 : 1, 7, 17, 49, 119, 833
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,986,686,833, is 1.
Now, the common factors can be found like this.
769:769
986:2x 17x 29
686:2x 7x 7x 7
833:7x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 17 = 1666
Therefore, the value for common factors is 1666.
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 = 433283720492/(1x1666)
LCM = 433283720492/1666
LCM = 260074262
Thus, we can understand that the LCM of 769,986,686,833 is 260074262.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 769, 986, 686, 833
1. What is the LCM of 769, 986, 686, 833?
Answer: LCM of 769, 986, 686, 833 is 260074262.
2. How to calculate the LCM of 769, 986, 686, 833?
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 769, 986, 686, 833.
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}.