LCM of 499, 458, 966, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 499, 458, 966, 506 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, 458, 966, 506. So, keep reading to learn more.
Given numbers are 499,458,966,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,458,966,506 is 1214243646.
Find LCM of 499,458,966,506 with Prime Factorization
| 2 | 499, 458, 966, 506 |
| 23 | 499, 229, 483, 253 |
| 499, 229, 21, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 499 x 229 x 21 x 11 = 1214243646
Therefore, the lowest common multiple of 499,458,966,506 is 1214243646.
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 458 x 966 x 506 = 111710415432
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
458 : 1, 2, 229, 458
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,458,966,506, is 1.
Now, the common factors can be found like this.
499:499
458:2x 229
966:2x 3x 7x 23
506:2x 11x 23
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 23 = 92
Therefore, the value for common factors is 92.
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 = 111710415432/(1x92)
LCM = 111710415432/92
LCM = 1214243646
Thus, we can understand that the LCM of 499,458,966,506 is 1214243646.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 499, 458, 966, 506
1. What is the LCM of 499, 458, 966, 506?
Answer: LCM of 499, 458, 966, 506 is 1214243646.
2. How to calculate the LCM of 499, 458, 966, 506?
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, 458, 966, 506.
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}.