LCM of 824, 592, 289, 425, 659
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 592, 289, 425, 659 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 824, 592, 289, 425, 659. So, keep reading to learn more.
Given numbers are 824,592,289,425,659
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,592,289,425,659 is 290323504400.
Find LCM of 824,592,289,425,659 with Prime Factorization
| 2 | 824, 592, 289, 425, 659 |
| 2 | 412, 296, 289, 425, 659 |
| 2 | 206, 148, 289, 425, 659 |
| 17 | 103, 74, 289, 425, 659 |
| 103, 74, 17, 25, 659 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 103 x 74 x 17 x 25 x 659 = 290323504400
Therefore, the lowest common multiple of 824,592,289,425,659 is 290323504400.
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.
824 x 592 x 289 x 425 x 659 = 39483996598400
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
289 : 1, 17, 289
425 : 1, 5, 17, 25, 85, 425
659 : 1, 659
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,592,289,425,659, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
592:2x 2x 2x 2x 37
289:17x 17
425:5x 5x 17
659:659
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 2x 17 = 136
Therefore, the value for common factors is 136.
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 = 39483996598400/(1x136)
LCM = 39483996598400/136
LCM = 290323504400
Thus, we can understand that the LCM of 824,592,289,425,659 is 290323504400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 824, 592, 289, 425, 659
1. What is the LCM of 824, 592, 289, 425, 659?
Answer: LCM of 824, 592, 289, 425, 659 is 290323504400.
2. How to calculate the LCM of 824, 592, 289, 425, 659?
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 824, 592, 289, 425, 659.
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}.