LCM of 529, 644, 534, 567, 664
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 529, 644, 534, 567, 664 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 529, 644, 534, 567, 664. So, keep reading to learn more.
Given numbers are 529,644,534,567,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 529,644,534,567,664 is 17725431528.
Find LCM of 529,644,534,567,664 with Prime Factorization
| 2 | 529, 644, 534, 567, 664 |
| 2 | 529, 322, 267, 567, 332 |
| 3 | 529, 161, 267, 567, 166 |
| 7 | 529, 161, 89, 189, 166 |
| 23 | 529, 23, 89, 27, 166 |
| 1, 23, 89, 27, 166 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 1 x 23 x 89 x 27 x 166 = 17725431528
Therefore, the lowest common multiple of 529,644,534,567,664 is 17725431528.
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.
529 x 644 x 534 x 567 x 664 = 68491067424192
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.
529 : 1, 23, 529
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
534 : 1, 2, 3, 6, 89, 178, 267, 534
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,644,534,567,664, is 1.
Now, the common factors can be found like this.
529:23x 23
644:2x 2x 7x 23
534:2x 3x 89
567:3x 3x 3x 3x 7
664:2x 2x 2x 83
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 3x 7x 23 = 3864
Therefore, the value for common factors is 3864.
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 = 68491067424192/(1x3864)
LCM = 68491067424192/3864
LCM = 17725431528
Thus, we can understand that the LCM of 529,644,534,567,664 is 17725431528.
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FAQs on LCM of 529, 644, 534, 567, 664
1. What is the LCM of 529, 644, 534, 567, 664?
Answer: LCM of 529, 644, 534, 567, 664 is 17725431528.
2. How to calculate the LCM of 529, 644, 534, 567, 664?
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 529, 644, 534, 567, 664.
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}.