Find the LCM of 494, 629, 471, 820, 425 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 494, 629, 471, 820, 425. So, keep reading to learn more.
Given numbers are 494,629,471,820,425
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,629,471,820,425 is 300021489300.
Find LCM of 494,629,471,820,425 with Prime Factorization
2 | 494, 629, 471, 820, 425 |
5 | 247, 629, 471, 410, 425 |
17 | 247, 629, 471, 82, 85 |
247, 37, 471, 82, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 247 x 37 x 471 x 82 x 5 = 300021489300
Therefore, the lowest common multiple of 494,629,471,820,425 is 300021489300.
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.
494 x 629 x 471 x 820 x 425 = 51003653181000
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
629 : 1, 17, 37, 629
471 : 1, 3, 157, 471
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
425 : 1, 5, 17, 25, 85, 425
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,629,471,820,425, is 1.
Now, the common factors can be found like this.
494:2x 13x 19
629:17x 37
471:3x 157
820:2x 2x 5x 41
425:5x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17 = 170
Therefore, the value for common factors is 170.
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 = 51003653181000/(1x170)
LCM = 51003653181000/170
LCM = 300021489300
Thus, we can understand that the LCM of 494,629,471,820,425 is 300021489300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 494, 629, 471, 820, 425?
Answer: LCM of 494, 629, 471, 820, 425 is 300021489300.
2. How to calculate the LCM of 494, 629, 471, 820, 425?
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 494, 629, 471, 820, 425.
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}.