Find the LCM of 508, 636, 182, 424 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 508, 636, 182, 424. So, keep reading to learn more.
Given numbers are 508,636,182,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,636,182,424 is 14700504.
Find LCM of 508,636,182,424 with Prime Factorization
2 | 508, 636, 182, 424 |
2 | 254, 318, 91, 212 |
53 | 127, 159, 91, 106 |
127, 3, 91, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 53 x 127 x 3 x 91 x 2 = 14700504
Therefore, the lowest common multiple of 508,636,182,424 is 14700504.
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.
508 x 636 x 182 x 424 = 24932054784
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.
508 : 1, 2, 4, 127, 254, 508
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
182 : 1, 2, 7, 13, 14, 26, 91, 182
424 : 1, 2, 4, 8, 53, 106, 212, 424
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,636,182,424, is 2.
Now, the common factors can be found like this.
508:2x 2x 127
636:2x 2x 3x 53
182:2x 7x 13
424:2x 2x 2x 53
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 53 = 848
Therefore, the value for common factors is 848.
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 = 24932054784/(2x848)
LCM = 24932054784/1696
LCM = 14700504
Thus, we can understand that the LCM of 508,636,182,424 is 14700504.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 508, 636, 182, 424?
Answer: LCM of 508, 636, 182, 424 is 14700504.
2. How to calculate the LCM of 508, 636, 182, 424?
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 508, 636, 182, 424.
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}.