LCM of 689, 725, 800, 663, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 725, 800, 663, 690 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, 725, 800, 663, 690. So, keep reading to learn more.
Given numbers are 689,725,800,663,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,725,800,663,690 is 18750170400.
Find LCM of 689,725,800,663,690 with Prime Factorization
| 2 | 689, 725, 800, 663, 690 |
| 3 | 689, 725, 400, 663, 345 |
| 5 | 689, 725, 400, 221, 115 |
| 5 | 689, 145, 80, 221, 23 |
| 13 | 689, 29, 16, 221, 23 |
| 53, 29, 16, 17, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 13 x 53 x 29 x 16 x 17 x 23 = 18750170400
Therefore, the lowest common multiple of 689,725,800,663,690 is 18750170400.
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 725 x 800 x 663 x 690 = 182814161400000
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
725 : 1, 5, 25, 29, 145, 725
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
663 : 1, 3, 13, 17, 39, 51, 221, 663
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,725,800,663,690, is 1.
Now, the common factors can be found like this.
689:13x 53
725:5x 5x 29
800:2x 2x 2x 2x 2x 5x 5
663:3x 13x 17
690:2x 3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 5x 13 = 9750
Therefore, the value for common factors is 9750.
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 = 182814161400000/(1x9750)
LCM = 182814161400000/9750
LCM = 18750170400
Thus, we can understand that the LCM of 689,725,800,663,690 is 18750170400.
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FAQs on LCM of 689, 725, 800, 663, 690
1. What is the LCM of 689, 725, 800, 663, 690?
Answer: LCM of 689, 725, 800, 663, 690 is 18750170400.
2. How to calculate the LCM of 689, 725, 800, 663, 690?
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, 725, 800, 663, 690.
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}.