LCM of 567, 432, 208, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 567, 432, 208, 923 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 567, 432, 208, 923. So, keep reading to learn more.
Given numbers are 567,432,208,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,432,208,923 is 8373456.
Find LCM of 567,432,208,923 with Prime Factorization
| 2 | 567, 432, 208, 923 |
| 2 | 567, 216, 104, 923 |
| 2 | 567, 108, 52, 923 |
| 2 | 567, 54, 26, 923 |
| 3 | 567, 27, 13, 923 |
| 3 | 189, 9, 13, 923 |
| 3 | 63, 3, 13, 923 |
| 13 | 21, 1, 13, 923 |
| 21, 1, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 21 x 1 x 1 x 71 = 8373456
Therefore, the lowest common multiple of 567,432,208,923 is 8373456.
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.
567 x 432 x 208 x 923 = 47025328896
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,432,208,923, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
432:2x 2x 2x 2x 3x 3x 3
208:2x 2x 2x 2x 13
923:13x 71
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 3x 3x 3x 13 = 5616
Therefore, the value for common factors is 5616.
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 = 47025328896/(1x5616)
LCM = 47025328896/5616
LCM = 8373456
Thus, we can understand that the LCM of 567,432,208,923 is 8373456.
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FAQs on LCM of 567, 432, 208, 923
1. What is the LCM of 567, 432, 208, 923?
Answer: LCM of 567, 432, 208, 923 is 8373456.
2. How to calculate the LCM of 567, 432, 208, 923?
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 567, 432, 208, 923.
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}.