LCM of 402, 682, 649, 123, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 402, 682, 649, 123, 447 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 402, 682, 649, 123, 447. So, keep reading to learn more.
Given numbers are 402,682,649,123,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,682,649,123,447 is 49408602342.
Find LCM of 402,682,649,123,447 with Prime Factorization
| 2 | 402, 682, 649, 123, 447 |
| 3 | 201, 341, 649, 123, 447 |
| 11 | 67, 341, 649, 41, 149 |
| 67, 31, 59, 41, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 67 x 31 x 59 x 41 x 149 = 49408602342
Therefore, the lowest common multiple of 402,682,649,123,447 is 49408602342.
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.
402 x 682 x 649 x 123 x 447 = 9782903263716
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.
402 : 1, 2, 3, 6, 67, 134, 201, 402
682 : 1, 2, 11, 22, 31, 62, 341, 682
649 : 1, 11, 59, 649
123 : 1, 3, 41, 123
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,682,649,123,447, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
682:2x 11x 31
649:11x 59
123:3x 41
447:3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 9782903263716/(1x198)
LCM = 9782903263716/198
LCM = 49408602342
Thus, we can understand that the LCM of 402,682,649,123,447 is 49408602342.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 402, 682, 649, 123, 447
1. What is the LCM of 402, 682, 649, 123, 447?
Answer: LCM of 402, 682, 649, 123, 447 is 49408602342.
2. How to calculate the LCM of 402, 682, 649, 123, 447?
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 402, 682, 649, 123, 447.
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}.