LCM of 117, 264, 422, 957, 384
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 264, 422, 957, 384 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 117, 264, 422, 957, 384. So, keep reading to learn more.
Given numbers are 117,264,422,957,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,264,422,957,384 is 1008019584.
Find LCM of 117,264,422,957,384 with Prime Factorization
| 2 | 117, 264, 422, 957, 384 |
| 2 | 117, 132, 211, 957, 192 |
| 2 | 117, 66, 211, 957, 96 |
| 3 | 117, 33, 211, 957, 48 |
| 11 | 39, 11, 211, 319, 16 |
| 39, 1, 211, 29, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 39 x 1 x 211 x 29 x 16 = 1008019584
Therefore, the lowest common multiple of 117,264,422,957,384 is 1008019584.
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.
117 x 264 x 422 x 957 x 384 = 4790109063168
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.
117 : 1, 3, 9, 13, 39, 117
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
422 : 1, 2, 211, 422
957 : 1, 3, 11, 29, 33, 87, 319, 957
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,264,422,957,384, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
264:2x 2x 2x 3x 11
422:2x 211
957:3x 11x 29
384:2x 2x 2x 2x 2x 2x 2x 3
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 2x 3x 3x 3x 11 = 4752
Therefore, the value for common factors is 4752.
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 = 4790109063168/(1x4752)
LCM = 4790109063168/4752
LCM = 1008019584
Thus, we can understand that the LCM of 117,264,422,957,384 is 1008019584.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 117, 264, 422, 957, 384
1. What is the LCM of 117, 264, 422, 957, 384?
Answer: LCM of 117, 264, 422, 957, 384 is 1008019584.
2. How to calculate the LCM of 117, 264, 422, 957, 384?
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 117, 264, 422, 957, 384.
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}.