Find the LCM of 549, 112, 221, 424, 504 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 549, 112, 221, 424, 504. So, keep reading to learn more.
Given numbers are 549,112,221,424,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,112,221,424,504 is 720208944.
Find LCM of 549,112,221,424,504 with Prime Factorization
2 | 549, 112, 221, 424, 504 |
2 | 549, 56, 221, 212, 252 |
2 | 549, 28, 221, 106, 126 |
3 | 549, 14, 221, 53, 63 |
3 | 183, 14, 221, 53, 21 |
7 | 61, 14, 221, 53, 7 |
61, 2, 221, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 61 x 2 x 221 x 53 x 1 = 720208944
Therefore, the lowest common multiple of 549,112,221,424,504 is 720208944.
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.
549 x 112 x 221 x 424 x 504 = 2903882462208
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.
549 : 1, 3, 9, 61, 183, 549
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
221 : 1, 13, 17, 221
424 : 1, 2, 4, 8, 53, 106, 212, 424
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,112,221,424,504, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
112:2x 2x 2x 2x 7
221:13x 17
424:2x 2x 2x 53
504:2x 2x 2x 3x 3x 7
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 3x 3x 7 = 4032
Therefore, the value for common factors is 4032.
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 = 2903882462208/(1x4032)
LCM = 2903882462208/4032
LCM = 720208944
Thus, we can understand that the LCM of 549,112,221,424,504 is 720208944.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 549, 112, 221, 424, 504?
Answer: LCM of 549, 112, 221, 424, 504 is 720208944.
2. How to calculate the LCM of 549, 112, 221, 424, 504?
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 549, 112, 221, 424, 504.
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}.