Find the LCM of 866, 933, 675, 429, 594 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, 933, 675, 429, 594. So, keep reading to learn more.
Given numbers are 866,933,675,429,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,933,675,429,594 is 25996692150.
Find LCM of 866,933,675,429,594 with Prime Factorization
2 | 866, 933, 675, 429, 594 |
3 | 433, 933, 675, 429, 297 |
3 | 433, 311, 225, 143, 99 |
3 | 433, 311, 75, 143, 33 |
11 | 433, 311, 25, 143, 11 |
433, 311, 25, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 433 x 311 x 25 x 13 x 1 = 25996692150
Therefore, the lowest common multiple of 866,933,675,429,594 is 25996692150.
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 933 x 675 x 429 x 594 = 138978316233900
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
933 : 1, 3, 311, 933
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
429 : 1, 3, 11, 13, 33, 39, 143, 429
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,933,675,429,594, is 1.
Now, the common factors can be found like this.
866:2x 433
933:3x 311
675:3x 3x 3x 5x 5
429:3x 11x 13
594:2x 3x 3x 3x 11
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 3x 3x 3x 11 = 5346
Therefore, the value for common factors is 5346.
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 = 138978316233900/(1x5346)
LCM = 138978316233900/5346
LCM = 25996692150
Thus, we can understand that the LCM of 866,933,675,429,594 is 25996692150.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 866, 933, 675, 429, 594?
Answer: LCM of 866, 933, 675, 429, 594 is 25996692150.
2. How to calculate the LCM of 866, 933, 675, 429, 594?
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, 933, 675, 429, 594.
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}.