LCM of 624, 810, 642, 824
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 810, 642, 824 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 624, 810, 642, 824. So, keep reading to learn more.
Given numbers are 624,810,642,824
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,810,642,824 is 928409040.
Find LCM of 624,810,642,824 with Prime Factorization
| 2 | 624, 810, 642, 824 |
| 2 | 312, 405, 321, 412 |
| 2 | 156, 405, 321, 206 |
| 3 | 78, 405, 321, 103 |
| 26, 135, 107, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 26 x 135 x 107 x 103 = 928409040
Therefore, the lowest common multiple of 624,810,642,824 is 928409040.
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.
624 x 810 x 642 x 824 = 267381803520
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
642 : 1, 2, 3, 6, 107, 214, 321, 642
824 : 1, 2, 4, 8, 103, 206, 412, 824
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,810,642,824, is 2.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
810:2x 3x 3x 3x 3x 5
642:2x 3x 107
824:2x 2x 2x 103
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 3 = 144
Therefore, the value for common factors is 144.
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 = 267381803520/(2x144)
LCM = 267381803520/288
LCM = 928409040
Thus, we can understand that the LCM of 624,810,642,824 is 928409040.
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FAQs on LCM of 624, 810, 642, 824
1. What is the LCM of 624, 810, 642, 824?
Answer: LCM of 624, 810, 642, 824 is 928409040.
2. How to calculate the LCM of 624, 810, 642, 824?
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 624, 810, 642, 824.
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}.