LCM of 323, 545, 552, 207, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 323, 545, 552, 207, 738 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 323, 545, 552, 207, 738. So, keep reading to learn more.
Given numbers are 323,545,552,207,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,545,552,207,738 is 11952072360.
Find LCM of 323,545,552,207,738 with Prime Factorization
| 2 | 323, 545, 552, 207, 738 |
| 3 | 323, 545, 276, 207, 369 |
| 3 | 323, 545, 92, 69, 123 |
| 23 | 323, 545, 92, 23, 41 |
| 323, 545, 4, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 323 x 545 x 4 x 1 x 41 = 11952072360
Therefore, the lowest common multiple of 323,545,552,207,738 is 11952072360.
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.
323 x 545 x 552 x 207 x 738 = 14844473871120
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.
323 : 1, 17, 19, 323
545 : 1, 5, 109, 545
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
207 : 1, 3, 9, 23, 69, 207
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,545,552,207,738, is 1.
Now, the common factors can be found like this.
323:17x 19
545:5x 109
552:2x 2x 2x 3x 23
207:3x 3x 23
738:2x 3x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 23 = 1242
Therefore, the value for common factors is 1242.
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 = 14844473871120/(1x1242)
LCM = 14844473871120/1242
LCM = 11952072360
Thus, we can understand that the LCM of 323,545,552,207,738 is 11952072360.
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FAQs on LCM of 323, 545, 552, 207, 738
1. What is the LCM of 323, 545, 552, 207, 738?
Answer: LCM of 323, 545, 552, 207, 738 is 11952072360.
2. How to calculate the LCM of 323, 545, 552, 207, 738?
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 323, 545, 552, 207, 738.
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}.