LCM of 689, 240, 525, 706, 606
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 240, 525, 706, 606 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, 240, 525, 706, 606. So, keep reading to learn more.
Given numbers are 689,240,525,706,606
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,240,525,706,606 is 206345302800.
Find LCM of 689,240,525,706,606 with Prime Factorization
| 2 | 689, 240, 525, 706, 606 |
| 3 | 689, 120, 525, 353, 303 |
| 5 | 689, 40, 175, 353, 101 |
| 689, 8, 35, 353, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 689 x 8 x 35 x 353 x 101 = 206345302800
Therefore, the lowest common multiple of 689,240,525,706,606 is 206345302800.
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 240 x 525 x 706 x 606 = 37142154504000
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
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
706 : 1, 2, 353, 706
606 : 1, 2, 3, 6, 101, 202, 303, 606
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,240,525,706,606, is 1.
Now, the common factors can be found like this.
689:13x 53
240:2x 2x 2x 2x 3x 5
525:3x 5x 5x 7
706:2x 353
606:2x 3x 101
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 5 = 180
Therefore, the value for common factors is 180.
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 = 37142154504000/(1x180)
LCM = 37142154504000/180
LCM = 206345302800
Thus, we can understand that the LCM of 689,240,525,706,606 is 206345302800.
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FAQs on LCM of 689, 240, 525, 706, 606
1. What is the LCM of 689, 240, 525, 706, 606?
Answer: LCM of 689, 240, 525, 706, 606 is 206345302800.
2. How to calculate the LCM of 689, 240, 525, 706, 606?
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, 240, 525, 706, 606.
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}.