LCM of 954, 901, 912, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 954, 901, 912, 448 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 954, 901, 912, 448. So, keep reading to learn more.
Given numbers are 954,901,912,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,901,912,448 is 69023808.
Find LCM of 954,901,912,448 with Prime Factorization
| 2 | 954, 901, 912, 448 |
| 2 | 477, 901, 456, 224 |
| 2 | 477, 901, 228, 112 |
| 2 | 477, 901, 114, 56 |
| 3 | 477, 901, 57, 28 |
| 53 | 159, 901, 19, 28 |
| 3, 17, 19, 28 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 53 x 3 x 17 x 19 x 28 = 69023808
Therefore, the lowest common multiple of 954,901,912,448 is 69023808.
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.
954 x 901 x 912 x 448 = 351193135104
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.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
901 : 1, 17, 53, 901
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,901,912,448, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
901:17x 53
912:2x 2x 2x 2x 3x 19
448:2x 2x 2x 2x 2x 2x 7
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 2x 3x 53 = 5088
Therefore, the value for common factors is 5088.
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 = 351193135104/(1x5088)
LCM = 351193135104/5088
LCM = 69023808
Thus, we can understand that the LCM of 954,901,912,448 is 69023808.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 954, 901, 912, 448
1. What is the LCM of 954, 901, 912, 448?
Answer: LCM of 954, 901, 912, 448 is 69023808.
2. How to calculate the LCM of 954, 901, 912, 448?
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 954, 901, 912, 448.
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}.