LCM of 458, 792, 626, 384, 807
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 458, 792, 626, 384, 807 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 458, 792, 626, 384, 807. So, keep reading to learn more.
Given numbers are 458,792,626,384,807
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 458,792,626,384,807 is 244330263936.
Find LCM of 458,792,626,384,807 with Prime Factorization
| 2 | 458, 792, 626, 384, 807 |
| 2 | 229, 396, 313, 192, 807 |
| 2 | 229, 198, 313, 96, 807 |
| 3 | 229, 99, 313, 48, 807 |
| 229, 33, 313, 16, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 229 x 33 x 313 x 16 x 269 = 244330263936
Therefore, the lowest common multiple of 458,792,626,384,807 is 244330263936.
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.
458 x 792 x 626 x 384 x 807 = 70367116013568
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.
458 : 1, 2, 229, 458
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
626 : 1, 2, 313, 626
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
807 : 1, 3, 269, 807
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,792,626,384,807, is 1.
Now, the common factors can be found like this.
458:2x 229
792:2x 2x 2x 3x 3x 11
626:2x 313
384:2x 2x 2x 2x 2x 2x 2x 3
807:3x 269
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 3 = 288
Therefore, the value for common factors is 288.
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 = 70367116013568/(1x288)
LCM = 70367116013568/288
LCM = 244330263936
Thus, we can understand that the LCM of 458,792,626,384,807 is 244330263936.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 458, 792, 626, 384, 807
1. What is the LCM of 458, 792, 626, 384, 807?
Answer: LCM of 458, 792, 626, 384, 807 is 244330263936.
2. How to calculate the LCM of 458, 792, 626, 384, 807?
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 458, 792, 626, 384, 807.
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}.