LCM of 459, 306, 852, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 306, 852, 753 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, 306, 852, 753. So, keep reading to learn more.
Given numbers are 459,306,852,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,306,852,753 is 32719356.
Find LCM of 459,306,852,753 with Prime Factorization
| 2 | 459, 306, 852, 753 |
| 3 | 459, 153, 426, 753 |
| 3 | 51, 153, 142, 251 |
| 17 | 17, 51, 142, 251 |
| 1, 3, 142, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 1 x 3 x 142 x 251 = 32719356
Therefore, the lowest common multiple of 459,306,852,753 is 32719356.
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 306 x 852 x 753 = 90109106424
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
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
753 : 1, 3, 251, 753
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,306,852,753, is 3.
Now, the common factors can be found like this.
459:3x 3x 3x 17
306:2x 3x 3x 17
852:2x 2x 3x 71
753:3x 251
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 17 = 918
Therefore, the value for common factors is 918.
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 = 90109106424/(3x918)
LCM = 90109106424/2754
LCM = 32719356
Thus, we can understand that the LCM of 459,306,852,753 is 32719356.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 459, 306, 852, 753
1. What is the LCM of 459, 306, 852, 753?
Answer: LCM of 459, 306, 852, 753 is 32719356.
2. How to calculate the LCM of 459, 306, 852, 753?
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, 306, 852, 753.
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}.