LCM of 663, 189, 297, 324
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 663, 189, 297, 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 663, 189, 297, 324. So, keep reading to learn more.
Given numbers are 663,189,297,324
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 663,189,297,324 is 5513508.
Find LCM of 663,189,297,324 with Prime Factorization
| 3 | 663, 189, 297, 324 |
| 3 | 221, 63, 99, 108 |
| 3 | 221, 21, 33, 36 |
| 221, 7, 11, 12 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 221 x 7 x 11 x 12 = 5513508
Therefore, the lowest common multiple of 663,189,297,324 is 5513508.
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.
663 x 189 x 297 x 324 = 12058041996
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.
663 : 1, 3, 13, 17, 39, 51, 221, 663
189 : 1, 3, 7, 9, 21, 27, 63, 189
297 : 1, 3, 9, 11, 27, 33, 99, 297
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,189,297,324, is 3.
Now, the common factors can be found like this.
663:3x 13x 17
189:3x 3x 3x 7
297:3x 3x 3x 11
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.
3x 3x 3x 3x 3x 3 = 729
Therefore, the value for common factors is 729.
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 = 12058041996/(3x729)
LCM = 12058041996/2187
LCM = 5513508
Thus, we can understand that the LCM of 663,189,297,324 is 5513508.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 663, 189, 297, 324
1. What is the LCM of 663, 189, 297, 324?
Answer: LCM of 663, 189, 297, 324 is 5513508.
2. How to calculate the LCM of 663, 189, 297, 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 663, 189, 297, 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}.