LCM of 499, 528, 836, 341, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 499, 528, 836, 341, 162 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, 528, 836, 341, 162. So, keep reading to learn more.
Given numbers are 499,528,836,341,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,528,836,341,162 is 4189995216.
Find LCM of 499,528,836,341,162 with Prime Factorization
| 2 | 499, 528, 836, 341, 162 |
| 2 | 499, 264, 418, 341, 81 |
| 3 | 499, 132, 209, 341, 81 |
| 11 | 499, 44, 209, 341, 27 |
| 499, 4, 19, 31, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 499 x 4 x 19 x 31 x 27 = 4189995216
Therefore, the lowest common multiple of 499,528,836,341,162 is 4189995216.
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 528 x 836 x 341 x 162 = 12167746107264
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
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
341 : 1, 11, 31, 341
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,528,836,341,162, is 1.
Now, the common factors can be found like this.
499:499
528:2x 2x 2x 2x 3x 11
836:2x 2x 11x 19
341:11x 31
162:2x 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 2x 2x 3x 11x 11 = 2904
Therefore, the value for common factors is 2904.
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 = 12167746107264/(1x2904)
LCM = 12167746107264/2904
LCM = 4189995216
Thus, we can understand that the LCM of 499,528,836,341,162 is 4189995216.
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FAQs on LCM of 499, 528, 836, 341, 162
1. What is the LCM of 499, 528, 836, 341, 162?
Answer: LCM of 499, 528, 836, 341, 162 is 4189995216.
2. How to calculate the LCM of 499, 528, 836, 341, 162?
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, 528, 836, 341, 162.
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}.