LCM of 486, 894, 364, 546, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 894, 364, 546, 849 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 486, 894, 364, 546, 849. So, keep reading to learn more.
Given numbers are 486,894,364,546,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,894,364,546,849 is 3729755484.
Find LCM of 486,894,364,546,849 with Prime Factorization
| 2 | 486, 894, 364, 546, 849 |
| 3 | 243, 447, 182, 273, 849 |
| 7 | 81, 149, 182, 91, 283 |
| 13 | 81, 149, 26, 13, 283 |
| 81, 149, 2, 1, 283 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 81 x 149 x 2 x 1 x 283 = 3729755484
Therefore, the lowest common multiple of 486,894,364,546,849 is 3729755484.
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.
486 x 894 x 364 x 546 x 849 = 73312073793504
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
894 : 1, 2, 3, 6, 149, 298, 447, 894
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,894,364,546,849, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
894:2x 3x 149
364:2x 2x 7x 13
546:2x 3x 7x 13
849:3x 283
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 3x 3x 7x 13 = 19656
Therefore, the value for common factors is 19656.
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 = 73312073793504/(1x19656)
LCM = 73312073793504/19656
LCM = 3729755484
Thus, we can understand that the LCM of 486,894,364,546,849 is 3729755484.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 486, 894, 364, 546, 849
1. What is the LCM of 486, 894, 364, 546, 849?
Answer: LCM of 486, 894, 364, 546, 849 is 3729755484.
2. How to calculate the LCM of 486, 894, 364, 546, 849?
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 486, 894, 364, 546, 849.
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}.