LCM of 804, 962, 112, 666, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 804, 962, 112, 666, 468 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 804, 962, 112, 666, 468. So, keep reading to learn more.
Given numbers are 804,962,112,666,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,962,112,666,468 is 32484816.
Find LCM of 804,962,112,666,468 with Prime Factorization
| 2 | 804, 962, 112, 666, 468 |
| 2 | 402, 481, 56, 333, 234 |
| 3 | 201, 481, 28, 333, 117 |
| 3 | 67, 481, 28, 111, 39 |
| 13 | 67, 481, 28, 37, 13 |
| 37 | 67, 37, 28, 37, 1 |
| 67, 1, 28, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 37 x 67 x 1 x 28 x 1 x 1 = 32484816
Therefore, the lowest common multiple of 804,962,112,666,468 is 32484816.
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.
804 x 962 x 112 x 666 x 468 = 27000339545088
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.
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
962 : 1, 2, 13, 26, 37, 74, 481, 962
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,962,112,666,468, is 2.
Now, the common factors can be found like this.
804:2x 2x 3x 67
962:2x 13x 37
112:2x 2x 2x 2x 7
666:2x 3x 3x 37
468:2x 2x 3x 3x 13
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 2x 2x 2x 3x 3x 3x 13x 37 = 415584
Therefore, the value for common factors is 415584.
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 = 27000339545088/(2x415584)
LCM = 27000339545088/831168
LCM = 32484816
Thus, we can understand that the LCM of 804,962,112,666,468 is 32484816.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 804, 962, 112, 666, 468
1. What is the LCM of 804, 962, 112, 666, 468?
Answer: LCM of 804, 962, 112, 666, 468 is 32484816.
2. How to calculate the LCM of 804, 962, 112, 666, 468?
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 804, 962, 112, 666, 468.
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}.