LCM of 428, 264, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 264, 462 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 428, 264, 462. So, keep reading to learn more.
Given numbers are 428,264,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,264,462 is 197736.
Find LCM of 428,264,462 with Prime Factorization
| 2 | 428, 264, 462 |
| 2 | 214, 132, 231 |
| 3 | 107, 66, 231 |
| 11 | 107, 22, 77 |
| 107, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 107 x 2 x 7 = 197736
Therefore, the lowest common multiple of 428,264,462 is 197736.
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.
428 x 264 x 462 = 52202304
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.
428 : 1, 2, 4, 107, 214, 428
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,264,462, is 2.
Now, the common factors can be found like this.
428:2x 2x 107
264:2x 2x 2x 3x 11
462:2x 3x 7x 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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 52202304/(2x132)
LCM = 52202304/264
LCM = 197736
Thus, we can understand that the LCM of 428,264,462 is 197736.
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FAQs on LCM of 428, 264, 462
1. What is the LCM of 428, 264, 462?
Answer: LCM of 428, 264, 462 is 197736.
2. How to calculate the LCM of 428, 264, 462?
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 428, 264, 462.
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}.