LCM of 600, 682, 367, 435, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 600, 682, 367, 435, 289 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 600, 682, 367, 435, 289. So, keep reading to learn more.
Given numbers are 600,682,367,435,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 600,682,367,435,289 is 629314204200.
Find LCM of 600,682,367,435,289 with Prime Factorization
| 2 | 600, 682, 367, 435, 289 |
| 3 | 300, 341, 367, 435, 289 |
| 5 | 100, 341, 367, 145, 289 |
| 20, 341, 367, 29, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 20 x 341 x 367 x 29 x 289 = 629314204200
Therefore, the lowest common multiple of 600,682,367,435,289 is 629314204200.
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.
600 x 682 x 367 x 435 x 289 = 18879426126000
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.
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
682 : 1, 2, 11, 22, 31, 62, 341, 682
367 : 1, 367
435 : 1, 3, 5, 15, 29, 87, 145, 435
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 600,682,367,435,289, is 1.
Now, the common factors can be found like this.
600:2x 2x 2x 3x 5x 5
682:2x 11x 31
367:367
435:3x 5x 29
289:17x 17
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 5 = 30
Therefore, the value for common factors is 30.
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 = 18879426126000/(1x30)
LCM = 18879426126000/30
LCM = 629314204200
Thus, we can understand that the LCM of 600,682,367,435,289 is 629314204200.
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FAQs on LCM of 600, 682, 367, 435, 289
1. What is the LCM of 600, 682, 367, 435, 289?
Answer: LCM of 600, 682, 367, 435, 289 is 629314204200.
2. How to calculate the LCM of 600, 682, 367, 435, 289?
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 600, 682, 367, 435, 289.
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}.