LCM of 459, 223, 306, 597, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 223, 306, 597, 264 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 459, 223, 306, 597, 264. So, keep reading to learn more.
Given numbers are 459,223,306,597,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,223,306,597,264 is 1792475784.
Find LCM of 459,223,306,597,264 with Prime Factorization
| 2 | 459, 223, 306, 597, 264 |
| 3 | 459, 223, 153, 597, 132 |
| 3 | 51, 223, 153, 199, 44 |
| 17 | 17, 223, 51, 199, 44 |
| 1, 223, 3, 199, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 1 x 223 x 3 x 199 x 44 = 1792475784
Therefore, the lowest common multiple of 459,223,306,597,264 is 1792475784.
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.
459 x 223 x 306 x 597 x 264 = 4936478309136
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
223 : 1, 223
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
597 : 1, 3, 199, 597
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,223,306,597,264, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
223:223
306:2x 3x 3x 17
597:3x 199
264:2x 2x 2x 3x 11
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 3x 17 = 2754
Therefore, the value for common factors is 2754.
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 = 4936478309136/(1x2754)
LCM = 4936478309136/2754
LCM = 1792475784
Thus, we can understand that the LCM of 459,223,306,597,264 is 1792475784.
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FAQs on LCM of 459, 223, 306, 597, 264
1. What is the LCM of 459, 223, 306, 597, 264?
Answer: LCM of 459, 223, 306, 597, 264 is 1792475784.
2. How to calculate the LCM of 459, 223, 306, 597, 264?
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 459, 223, 306, 597, 264.
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}.