Find the LCM of 502, 494, 649, 286, 273 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 502, 494, 649, 286, 273. So, keep reading to learn more.
Given numbers are 502,494,649,286,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 502,494,649,286,273 is 1689914226.
Find LCM of 502,494,649,286,273 with Prime Factorization
2 | 502, 494, 649, 286, 273 |
11 | 251, 247, 649, 143, 273 |
13 | 251, 247, 59, 13, 273 |
251, 19, 59, 1, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 251 x 19 x 59 x 1 x 21 = 1689914226
Therefore, the lowest common multiple of 502,494,649,286,273 is 1689914226.
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.
502 x 494 x 649 x 286 x 273 = 12566202184536
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.
502 : 1, 2, 251, 502
494 : 1, 2, 13, 19, 26, 38, 247, 494
649 : 1, 11, 59, 649
286 : 1, 2, 11, 13, 22, 26, 143, 286
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,494,649,286,273, is 1.
Now, the common factors can be found like this.
502:2x 251
494:2x 13x 19
649:11x 59
286:2x 11x 13
273:3x 7x 13
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 11x 13x 13 = 7436
Therefore, the value for common factors is 7436.
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 = 12566202184536/(1x7436)
LCM = 12566202184536/7436
LCM = 1689914226
Thus, we can understand that the LCM of 502,494,649,286,273 is 1689914226.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 502, 494, 649, 286, 273?
Answer: LCM of 502, 494, 649, 286, 273 is 1689914226.
2. How to calculate the LCM of 502, 494, 649, 286, 273?
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 502, 494, 649, 286, 273.
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}.