Find the LCM of 901, 871, 792, 384, 554 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 901, 871, 792, 384, 554. So, keep reading to learn more.
Given numbers are 901,871,792,384,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,871,792,384,554 is 2754659217024.
Find LCM of 901,871,792,384,554 with Prime Factorization
2 | 901, 871, 792, 384, 554 |
2 | 901, 871, 396, 192, 277 |
2 | 901, 871, 198, 96, 277 |
3 | 901, 871, 99, 48, 277 |
901, 871, 33, 16, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 901 x 871 x 33 x 16 x 277 = 2754659217024
Therefore, the lowest common multiple of 901,871,792,384,554 is 2754659217024.
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.
901 x 871 x 792 x 384 x 554 = 132223642417152
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.
901 : 1, 17, 53, 901
871 : 1, 13, 67, 871
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,871,792,384,554, is 1.
Now, the common factors can be found like this.
901:17x 53
871:13x 67
792:2x 2x 2x 3x 3x 11
384:2x 2x 2x 2x 2x 2x 2x 3
554:2x 277
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 3 = 48
Therefore, the value for common factors is 48.
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 = 132223642417152/(1x48)
LCM = 132223642417152/48
LCM = 2754659217024
Thus, we can understand that the LCM of 901,871,792,384,554 is 2754659217024.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 901, 871, 792, 384, 554?
Answer: LCM of 901, 871, 792, 384, 554 is 2754659217024.
2. How to calculate the LCM of 901, 871, 792, 384, 554?
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 901, 871, 792, 384, 554.
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}.