Find the LCM of 499, 104, 312, 536, 521 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, 104, 312, 536, 521. So, keep reading to learn more.
Given numbers are 499,104,312,536,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 499,104,312,536,521 is 5434601016.
Find LCM of 499,104,312,536,521 with Prime Factorization
2 | 499, 104, 312, 536, 521 |
2 | 499, 52, 156, 268, 521 |
2 | 499, 26, 78, 134, 521 |
13 | 499, 13, 39, 67, 521 |
499, 1, 3, 67, 521 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 499 x 1 x 3 x 67 x 521 = 5434601016
Therefore, the lowest common multiple of 499,104,312,536,521 is 5434601016.
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 104 x 312 x 536 x 521 = 4521588045312
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
104 : 1, 2, 4, 8, 13, 26, 52, 104
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
536 : 1, 2, 4, 8, 67, 134, 268, 536
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,104,312,536,521, is 1.
Now, the common factors can be found like this.
499:499
104:2x 2x 2x 13
312:2x 2x 2x 3x 13
536:2x 2x 2x 67
521:521
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 2x 2x 13 = 832
Therefore, the value for common factors is 832.
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 = 4521588045312/(1x832)
LCM = 4521588045312/832
LCM = 5434601016
Thus, we can understand that the LCM of 499,104,312,536,521 is 5434601016.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 499, 104, 312, 536, 521?
Answer: LCM of 499, 104, 312, 536, 521 is 5434601016.
2. How to calculate the LCM of 499, 104, 312, 536, 521?
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, 104, 312, 536, 521.
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}.