Find the LCM of 866, 834, 504, 533, 417 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 866, 834, 504, 533, 417. So, keep reading to learn more.
Given numbers are 866,834,504,533,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,834,504,533,417 is 16168154184.
Find LCM of 866,834,504,533,417 with Prime Factorization
2 | 866, 834, 504, 533, 417 |
3 | 433, 417, 252, 533, 417 |
139 | 433, 139, 84, 533, 139 |
433, 1, 84, 533, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 433 x 1 x 84 x 533 x 1 = 16168154184
Therefore, the lowest common multiple of 866,834,504,533,417 is 16168154184.
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.
866 x 834 x 504 x 533 x 417 = 80905443536736
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.
866 : 1, 2, 433, 866
834 : 1, 2, 3, 6, 139, 278, 417, 834
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
533 : 1, 13, 41, 533
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,834,504,533,417, is 1.
Now, the common factors can be found like this.
866:2x 433
834:2x 3x 139
504:2x 2x 2x 3x 3x 7
533:13x 41
417:3x 139
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 3x 3x 139 = 5004
Therefore, the value for common factors is 5004.
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 = 80905443536736/(1x5004)
LCM = 80905443536736/5004
LCM = 16168154184
Thus, we can understand that the LCM of 866,834,504,533,417 is 16168154184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 866, 834, 504, 533, 417?
Answer: LCM of 866, 834, 504, 533, 417 is 16168154184.
2. How to calculate the LCM of 866, 834, 504, 533, 417?
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 866, 834, 504, 533, 417.
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}.