LCM of 426, 330, 428, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 426, 330, 428, 792 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 426, 330, 428, 792. So, keep reading to learn more.
Given numbers are 426,330,428,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 426,330,428,792 is 30084120.
Find LCM of 426,330,428,792 with Prime Factorization
| 2 | 426, 330, 428, 792 |
| 2 | 213, 165, 214, 396 |
| 3 | 213, 165, 107, 198 |
| 11 | 71, 55, 107, 66 |
| 71, 5, 107, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 71 x 5 x 107 x 6 = 30084120
Therefore, the lowest common multiple of 426,330,428,792 is 30084120.
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.
426 x 330 x 428 x 792 = 47653246080
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.
426 : 1, 2, 3, 6, 71, 142, 213, 426
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
428 : 1, 2, 4, 107, 214, 428
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,330,428,792, is 2.
Now, the common factors can be found like this.
426:2x 3x 71
330:2x 3x 5x 11
428:2x 2x 107
792:2x 2x 2x 3x 3x 11
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 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 47653246080/(2x792)
LCM = 47653246080/1584
LCM = 30084120
Thus, we can understand that the LCM of 426,330,428,792 is 30084120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 426, 330, 428, 792
1. What is the LCM of 426, 330, 428, 792?
Answer: LCM of 426, 330, 428, 792 is 30084120.
2. How to calculate the LCM of 426, 330, 428, 792?
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 426, 330, 428, 792.
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}.