LCM of 894, 218, 999, 666
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 218, 999, 666 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 894, 218, 999, 666. So, keep reading to learn more.
Given numbers are 894,218,999,666
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,218,999,666 is 32449518.
Find LCM of 894,218,999,666 with Prime Factorization
| 2 | 894, 218, 999, 666 |
| 3 | 447, 109, 999, 333 |
| 3 | 149, 109, 111, 333 |
| 37 | 149, 109, 37, 111 |
| 149, 109, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 37 x 149 x 109 x 1 x 3 = 32449518
Therefore, the lowest common multiple of 894,218,999,666 is 32449518.
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.
894 x 218 x 999 x 666 = 129668273928
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
218 : 1, 2, 109, 218
999 : 1, 3, 9, 27, 37, 111, 333, 999
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,218,999,666, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
218:2x 109
999:3x 3x 3x 37
666:2x 3x 3x 37
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 3x 37 = 3996
Therefore, the value for common factors is 3996.
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 = 129668273928/(1x3996)
LCM = 129668273928/3996
LCM = 32449518
Thus, we can understand that the LCM of 894,218,999,666 is 32449518.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 894, 218, 999, 666
1. What is the LCM of 894, 218, 999, 666?
Answer: LCM of 894, 218, 999, 666 is 32449518.
2. How to calculate the LCM of 894, 218, 999, 666?
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 894, 218, 999, 666.
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}.