LCM of 689, 522, 310, 926, 935
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 522, 310, 926, 935 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 689, 522, 310, 926, 935. So, keep reading to learn more.
Given numbers are 689,522,310,926,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,522,310,926,935 is 4826630141190.
Find LCM of 689,522,310,926,935 with Prime Factorization
| 2 | 689, 522, 310, 926, 935 |
| 5 | 689, 261, 155, 463, 935 |
| 689, 261, 31, 463, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 689 x 261 x 31 x 463 x 187 = 4826630141190
Therefore, the lowest common multiple of 689,522,310,926,935 is 4826630141190.
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.
689 x 522 x 310 x 926 x 935 = 96532602823800
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.
689 : 1, 13, 53, 689
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
310 : 1, 2, 5, 10, 31, 62, 155, 310
926 : 1, 2, 463, 926
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,522,310,926,935, is 1.
Now, the common factors can be found like this.
689:13x 53
522:2x 3x 3x 29
310:2x 5x 31
926:2x 463
935:5x 11x 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 2x 5 = 20
Therefore, the value for common factors is 20.
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 = 96532602823800/(1x20)
LCM = 96532602823800/20
LCM = 4826630141190
Thus, we can understand that the LCM of 689,522,310,926,935 is 4826630141190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 522, 310, 926, 935
1. What is the LCM of 689, 522, 310, 926, 935?
Answer: LCM of 689, 522, 310, 926, 935 is 4826630141190.
2. How to calculate the LCM of 689, 522, 310, 926, 935?
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 689, 522, 310, 926, 935.
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}.