LCM of 422, 512, 422, 824, 559
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 512, 422, 824, 559 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 422, 512, 422, 824, 559. So, keep reading to learn more.
Given numbers are 422,512,422,824,559
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,512,422,824,559 is 6220158464.
Find LCM of 422,512,422,824,559 with Prime Factorization
| 2 | 422, 512, 422, 824, 559 |
| 2 | 211, 256, 211, 412, 559 |
| 2 | 211, 128, 211, 206, 559 |
| 211 | 211, 64, 211, 103, 559 |
| 1, 64, 1, 103, 559 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 211 x 1 x 64 x 1 x 103 x 559 = 6220158464
Therefore, the lowest common multiple of 422,512,422,824,559 is 6220158464.
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.
422 x 512 x 422 x 824 x 559 = 41998509948928
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.
422 : 1, 2, 211, 422
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
422 : 1, 2, 211, 422
824 : 1, 2, 4, 8, 103, 206, 412, 824
559 : 1, 13, 43, 559
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,512,422,824,559, is 1.
Now, the common factors can be found like this.
422:2x 211
512:2x 2x 2x 2x 2x 2x 2x 2x 2
422:2x 211
824:2x 2x 2x 103
559:13x 43
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 2x 2x 211 = 6752
Therefore, the value for common factors is 6752.
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 = 41998509948928/(1x6752)
LCM = 41998509948928/6752
LCM = 6220158464
Thus, we can understand that the LCM of 422,512,422,824,559 is 6220158464.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 422, 512, 422, 824, 559
1. What is the LCM of 422, 512, 422, 824, 559?
Answer: LCM of 422, 512, 422, 824, 559 is 6220158464.
2. How to calculate the LCM of 422, 512, 422, 824, 559?
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 422, 512, 422, 824, 559.
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}.