Find the LCM of 663, 917, 529, 258, 488 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 663, 917, 529, 258, 488. So, keep reading to learn more.
Given numbers are 663,917,529,258,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 663,917,529,258,488 is 6748803972456.
Find LCM of 663,917,529,258,488 with Prime Factorization
2 | 663, 917, 529, 258, 488 |
3 | 663, 917, 529, 129, 244 |
221, 917, 529, 43, 244 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 221 x 917 x 529 x 43 x 244 = 6748803972456
Therefore, the lowest common multiple of 663,917,529,258,488 is 6748803972456.
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.
663 x 917 x 529 x 258 x 488 = 40492823834736
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.
663 : 1, 3, 13, 17, 39, 51, 221, 663
917 : 1, 7, 131, 917
529 : 1, 23, 529
258 : 1, 2, 3, 6, 43, 86, 129, 258
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,917,529,258,488, is 1.
Now, the common factors can be found like this.
663:3x 13x 17
917:7x 131
529:23x 23
258:2x 3x 43
488:2x 2x 2x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 40492823834736/(1x6)
LCM = 40492823834736/6
LCM = 6748803972456
Thus, we can understand that the LCM of 663,917,529,258,488 is 6748803972456.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 663, 917, 529, 258, 488?
Answer: LCM of 663, 917, 529, 258, 488 is 6748803972456.
2. How to calculate the LCM of 663, 917, 529, 258, 488?
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 663, 917, 529, 258, 488.
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}.