LCM of 689, 590, 350, 800
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 590, 350, 800 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, 590, 350, 800. So, keep reading to learn more.
Given numbers are 689,590,350,800
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,590,350,800 is 227645600.
Find LCM of 689,590,350,800 with Prime Factorization
| 2 | 689, 590, 350, 800 |
| 5 | 689, 295, 175, 400 |
| 5 | 689, 59, 35, 80 |
| 689, 59, 7, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 689 x 59 x 7 x 16 = 227645600
Therefore, the lowest common multiple of 689,590,350,800 is 227645600.
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 590 x 350 x 800 = 113822800000
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
590 : 1, 2, 5, 10, 59, 118, 295, 590
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,590,350,800, is 1.
Now, the common factors can be found like this.
689:13x 53
590:2x 5x 59
350:2x 5x 5x 7
800:2x 2x 2x 2x 2x 5x 5
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 5x 5x 5 = 500
Therefore, the value for common factors is 500.
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 = 113822800000/(1x500)
LCM = 113822800000/500
LCM = 227645600
Thus, we can understand that the LCM of 689,590,350,800 is 227645600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 590, 350, 800
1. What is the LCM of 689, 590, 350, 800?
Answer: LCM of 689, 590, 350, 800 is 227645600.
2. How to calculate the LCM of 689, 590, 350, 800?
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, 590, 350, 800.
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}.