Find the LCM of 683, 648, 663, 428 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 683, 648, 663, 428. So, keep reading to learn more.
Given numbers are 683,648,663,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 683,648,663,428 is 10465783848.
Find LCM of 683,648,663,428 with Prime Factorization
2 | 683, 648, 663, 428 |
2 | 683, 324, 663, 214 |
3 | 683, 162, 663, 107 |
683, 54, 221, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 683 x 54 x 221 x 107 = 10465783848
Therefore, the lowest common multiple of 683,648,663,428 is 10465783848.
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.
683 x 648 x 663 x 428 = 125589406176
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.
683 : 1, 683
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
663 : 1, 3, 13, 17, 39, 51, 221, 663
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,648,663,428, is 1.
Now, the common factors can be found like this.
683:683
648:2x 2x 2x 3x 3x 3x 3
663:3x 13x 17
428:2x 2x 107
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 3 = 12
Therefore, the value for common factors is 12.
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 = 125589406176/(1x12)
LCM = 125589406176/12
LCM = 10465783848
Thus, we can understand that the LCM of 683,648,663,428 is 10465783848.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 683, 648, 663, 428?
Answer: LCM of 683, 648, 663, 428 is 10465783848.
2. How to calculate the LCM of 683, 648, 663, 428?
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 683, 648, 663, 428.
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}.