LCM of 894, 323, 468, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 323, 468, 684 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, 323, 468, 684. So, keep reading to learn more.
Given numbers are 894,323,468,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,323,468,684 is 22523436.
Find LCM of 894,323,468,684 with Prime Factorization
| 2 | 894, 323, 468, 684 |
| 2 | 447, 323, 234, 342 |
| 3 | 447, 323, 117, 171 |
| 3 | 149, 323, 39, 57 |
| 19 | 149, 323, 13, 19 |
| 149, 17, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 149 x 17 x 13 x 1 = 22523436
Therefore, the lowest common multiple of 894,323,468,684 is 22523436.
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 323 x 468 x 684 = 92436181344
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
323 : 1, 17, 19, 323
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,323,468,684, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
323:17x 19
468:2x 2x 3x 3x 13
684:2x 2x 3x 3x 19
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 3x 3x 3x 19 = 4104
Therefore, the value for common factors is 4104.
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 = 92436181344/(1x4104)
LCM = 92436181344/4104
LCM = 22523436
Thus, we can understand that the LCM of 894,323,468,684 is 22523436.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 894, 323, 468, 684
1. What is the LCM of 894, 323, 468, 684?
Answer: LCM of 894, 323, 468, 684 is 22523436.
2. How to calculate the LCM of 894, 323, 468, 684?
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, 323, 468, 684.
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}.