Find the LCM of 499, 348, 336, 981, 308 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, 348, 336, 981, 308. So, keep reading to learn more.
Given numbers are 499,348,336,981,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,348,336,981,308 is 17489534832.
Find LCM of 499,348,336,981,308 with Prime Factorization
2 | 499, 348, 336, 981, 308 |
2 | 499, 174, 168, 981, 154 |
3 | 499, 87, 84, 981, 77 |
7 | 499, 29, 28, 327, 77 |
499, 29, 4, 327, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 499 x 29 x 4 x 327 x 11 = 17489534832
Therefore, the lowest common multiple of 499,348,336,981,308 is 17489534832.
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 348 x 336 x 981 x 308 = 17629451110656
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
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
981 : 1, 3, 9, 109, 327, 981
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,348,336,981,308, is 1.
Now, the common factors can be found like this.
499:499
348:2x 2x 3x 29
336:2x 2x 2x 2x 3x 7
981:3x 3x 109
308:2x 2x 7x 11
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 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 17629451110656/(1x1008)
LCM = 17629451110656/1008
LCM = 17489534832
Thus, we can understand that the LCM of 499,348,336,981,308 is 17489534832.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 499, 348, 336, 981, 308?
Answer: LCM of 499, 348, 336, 981, 308 is 17489534832.
2. How to calculate the LCM of 499, 348, 336, 981, 308?
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, 348, 336, 981, 308.
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}.