LCM of 894, 162, 298, 559, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 162, 298, 559, 324 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, 162, 298, 559, 324. So, keep reading to learn more.
Given numbers are 894,162,298,559,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,162,298,559,324 is 26986284.
Find LCM of 894,162,298,559,324 with Prime Factorization
| 2 | 894, 162, 298, 559, 324 |
| 3 | 447, 81, 149, 559, 162 |
| 3 | 149, 27, 149, 559, 54 |
| 3 | 149, 9, 149, 559, 18 |
| 3 | 149, 3, 149, 559, 6 |
| 149 | 149, 1, 149, 559, 2 |
| 1, 1, 1, 559, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 149 x 1 x 1 x 1 x 559 x 2 = 26986284
Therefore, the lowest common multiple of 894,162,298,559,324 is 26986284.
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 162 x 298 x 559 x 324 = 7816739078304
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
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
298 : 1, 2, 149, 298
559 : 1, 13, 43, 559
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,162,298,559,324, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
162:2x 3x 3x 3x 3
298:2x 149
559:13x 43
324:2x 2x 3x 3x 3x 3
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 3x 3x 149 = 289656
Therefore, the value for common factors is 289656.
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 = 7816739078304/(1x289656)
LCM = 7816739078304/289656
LCM = 26986284
Thus, we can understand that the LCM of 894,162,298,559,324 is 26986284.
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FAQs on LCM of 894, 162, 298, 559, 324
1. What is the LCM of 894, 162, 298, 559, 324?
Answer: LCM of 894, 162, 298, 559, 324 is 26986284.
2. How to calculate the LCM of 894, 162, 298, 559, 324?
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, 162, 298, 559, 324.
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}.