LCM of 264, 896, 403, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 896, 403, 465 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 264, 896, 403, 465. So, keep reading to learn more.
Given numbers are 264,896,403,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,896,403,465 is 59579520.
Find LCM of 264,896,403,465 with Prime Factorization
| 2 | 264, 896, 403, 465 |
| 2 | 132, 448, 403, 465 |
| 2 | 66, 224, 403, 465 |
| 3 | 33, 112, 403, 465 |
| 31 | 11, 112, 403, 155 |
| 11, 112, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 31 x 11 x 112 x 13 x 5 = 59579520
Therefore, the lowest common multiple of 264,896,403,465 is 59579520.
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.
264 x 896 x 403 x 465 = 44327162880
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
403 : 1, 13, 31, 403
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,896,403,465, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
896:2x 2x 2x 2x 2x 2x 2x 7
403:13x 31
465:3x 5x 31
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 31 = 744
Therefore, the value for common factors is 744.
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 = 44327162880/(1x744)
LCM = 44327162880/744
LCM = 59579520
Thus, we can understand that the LCM of 264,896,403,465 is 59579520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 264, 896, 403, 465
1. What is the LCM of 264, 896, 403, 465?
Answer: LCM of 264, 896, 403, 465 is 59579520.
2. How to calculate the LCM of 264, 896, 403, 465?
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 264, 896, 403, 465.
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}.