LCM of 499, 646, 459, 486
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 499, 646, 459, 486 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 499, 646, 459, 486. So, keep reading to learn more.
Given numbers are 499,646,459,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,646,459,486 is 78332022.
Find LCM of 499,646,459,486 with Prime Factorization
| 2 | 499, 646, 459, 486 |
| 3 | 499, 323, 459, 243 |
| 3 | 499, 323, 153, 81 |
| 3 | 499, 323, 51, 27 |
| 17 | 499, 323, 17, 9 |
| 499, 19, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 17 x 499 x 19 x 1 x 9 = 78332022
Therefore, the lowest common multiple of 499,646,459,486 is 78332022.
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.
499 x 646 x 459 x 486 = 71908796196
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.
499 : 1, 499
646 : 1, 2, 17, 19, 34, 38, 323, 646
459 : 1, 3, 9, 17, 27, 51, 153, 459
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,646,459,486, is 1.
Now, the common factors can be found like this.
499:499
646:2x 17x 19
459:3x 3x 3x 17
486:2x 3x 3x 3x 3x 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 3x 3x 3x 17 = 918
Therefore, the value for common factors is 918.
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 = 71908796196/(1x918)
LCM = 71908796196/918
LCM = 78332022
Thus, we can understand that the LCM of 499,646,459,486 is 78332022.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 499, 646, 459, 486
1. What is the LCM of 499, 646, 459, 486?
Answer: LCM of 499, 646, 459, 486 is 78332022.
2. How to calculate the LCM of 499, 646, 459, 486?
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 499, 646, 459, 486.
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}.