LCM of 833, 385, 770, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 833, 385, 770, 697 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 833, 385, 770, 697. So, keep reading to learn more.
Given numbers are 833,385,770,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 833,385,770,697 is 3756830.
Find LCM of 833,385,770,697 with Prime Factorization
| 5 | 833, 385, 770, 697 |
| 7 | 833, 77, 154, 697 |
| 11 | 119, 11, 22, 697 |
| 17 | 119, 1, 2, 697 |
| 7, 1, 2, 41 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 17 x 7 x 1 x 2 x 41 = 3756830
Therefore, the lowest common multiple of 833,385,770,697 is 3756830.
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.
833 x 385 x 770 x 697 = 172119166450
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.
833 : 1, 7, 17, 49, 119, 833
385 : 1, 5, 7, 11, 35, 55, 77, 385
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 833,385,770,697, is 1.
Now, the common factors can be found like this.
833:7x 7x 17
385:5x 7x 11
770:2x 5x 7x 11
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 7x 11x 17 = 45815
Therefore, the value for common factors is 45815.
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 = 172119166450/(1x45815)
LCM = 172119166450/45815
LCM = 3756830
Thus, we can understand that the LCM of 833,385,770,697 is 3756830.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 833, 385, 770, 697
1. What is the LCM of 833, 385, 770, 697?
Answer: LCM of 833, 385, 770, 697 is 3756830.
2. How to calculate the LCM of 833, 385, 770, 697?
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 833, 385, 770, 697.
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}.