LCM of 689, 442, 387, 738, 402
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 442, 387, 738, 402 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, 442, 387, 738, 402. So, keep reading to learn more.
Given numbers are 689,442,387,738,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,442,387,738,402 is 24903922914.
Find LCM of 689,442,387,738,402 with Prime Factorization
| 2 | 689, 442, 387, 738, 402 |
| 3 | 689, 221, 387, 369, 201 |
| 3 | 689, 221, 129, 123, 67 |
| 13 | 689, 221, 43, 41, 67 |
| 53, 17, 43, 41, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 53 x 17 x 43 x 41 x 67 = 24903922914
Therefore, the lowest common multiple of 689,442,387,738,402 is 24903922914.
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 442 x 387 x 738 x 402 = 34965107771256
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
442 : 1, 2, 13, 17, 26, 34, 221, 442
387 : 1, 3, 9, 43, 129, 387
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
402 : 1, 2, 3, 6, 67, 134, 201, 402
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,442,387,738,402, is 1.
Now, the common factors can be found like this.
689:13x 53
442:2x 13x 17
387:3x 3x 43
738:2x 3x 3x 41
402:2x 3x 67
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 3x 3x 3x 13 = 1404
Therefore, the value for common factors is 1404.
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 = 34965107771256/(1x1404)
LCM = 34965107771256/1404
LCM = 24903922914
Thus, we can understand that the LCM of 689,442,387,738,402 is 24903922914.
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FAQs on LCM of 689, 442, 387, 738, 402
1. What is the LCM of 689, 442, 387, 738, 402?
Answer: LCM of 689, 442, 387, 738, 402 is 24903922914.
2. How to calculate the LCM of 689, 442, 387, 738, 402?
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, 442, 387, 738, 402.
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}.