LCM of 448, 407, 629, 642, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 407, 629, 642, 492 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 448, 407, 629, 642, 492. So, keep reading to learn more.
Given numbers are 448,407,629,642,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,407,629,642,492 is 40795309632.
Find LCM of 448,407,629,642,492 with Prime Factorization
| 2 | 448, 407, 629, 642, 492 |
| 2 | 224, 407, 629, 321, 246 |
| 3 | 112, 407, 629, 321, 123 |
| 37 | 112, 407, 629, 107, 41 |
| 112, 11, 17, 107, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 112 x 11 x 17 x 107 x 41 = 40795309632
Therefore, the lowest common multiple of 448,407,629,642,492 is 40795309632.
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.
448 x 407 x 629 x 642 x 492 = 36226234953216
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
407 : 1, 11, 37, 407
629 : 1, 17, 37, 629
642 : 1, 2, 3, 6, 107, 214, 321, 642
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,407,629,642,492, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
407:11x 37
629:17x 37
642:2x 3x 107
492:2x 2x 3x 41
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 37 = 888
Therefore, the value for common factors is 888.
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 = 36226234953216/(1x888)
LCM = 36226234953216/888
LCM = 40795309632
Thus, we can understand that the LCM of 448,407,629,642,492 is 40795309632.
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FAQs on LCM of 448, 407, 629, 642, 492
1. What is the LCM of 448, 407, 629, 642, 492?
Answer: LCM of 448, 407, 629, 642, 492 is 40795309632.
2. How to calculate the LCM of 448, 407, 629, 642, 492?
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 448, 407, 629, 642, 492.
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}.