LCM of 689, 574, 364, 382, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 574, 364, 382, 330 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, 574, 364, 382, 330. So, keep reading to learn more.
Given numbers are 689,574,364,382,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,574,364,382,330 is 24927482580.
Find LCM of 689,574,364,382,330 with Prime Factorization
| 2 | 689, 574, 364, 382, 330 |
| 7 | 689, 287, 182, 191, 165 |
| 13 | 689, 41, 26, 191, 165 |
| 53, 41, 2, 191, 165 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 13 x 53 x 41 x 2 x 191 x 165 = 24927482580
Therefore, the lowest common multiple of 689,574,364,382,330 is 24927482580.
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 574 x 364 x 382 x 330 = 18147207318240
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
574 : 1, 2, 7, 14, 41, 82, 287, 574
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
382 : 1, 2, 191, 382
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,574,364,382,330, is 1.
Now, the common factors can be found like this.
689:13x 53
574:2x 7x 41
364:2x 2x 7x 13
382:2x 191
330:2x 3x 5x 11
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 7x 13 = 728
Therefore, the value for common factors is 728.
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 = 18147207318240/(1x728)
LCM = 18147207318240/728
LCM = 24927482580
Thus, we can understand that the LCM of 689,574,364,382,330 is 24927482580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 574, 364, 382, 330
1. What is the LCM of 689, 574, 364, 382, 330?
Answer: LCM of 689, 574, 364, 382, 330 is 24927482580.
2. How to calculate the LCM of 689, 574, 364, 382, 330?
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, 574, 364, 382, 330.
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}.