Find the LCM of 549, 610, 163, 612, 428 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, 610, 163, 612, 428. So, keep reading to learn more.
Given numbers are 549,610,163,612,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,610,163,612,428 is 3255537060.
Find LCM of 549,610,163,612,428 with Prime Factorization
2 | 549, 610, 163, 612, 428 |
2 | 549, 305, 163, 306, 214 |
3 | 549, 305, 163, 153, 107 |
3 | 183, 305, 163, 51, 107 |
61 | 61, 305, 163, 17, 107 |
1, 5, 163, 17, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 61 x 1 x 5 x 163 x 17 x 107 = 3255537060
Therefore, the lowest common multiple of 549,610,163,612,428 is 3255537060.
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 610 x 163 x 612 x 428 = 14298318767520
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
610 : 1, 2, 5, 10, 61, 122, 305, 610
163 : 1, 163
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,610,163,612,428, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
610:2x 5x 61
163:163
612:2x 2x 3x 3x 17
428:2x 2x 107
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 3x 3x 61 = 4392
Therefore, the value for common factors is 4392.
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 = 14298318767520/(1x4392)
LCM = 14298318767520/4392
LCM = 3255537060
Thus, we can understand that the LCM of 549,610,163,612,428 is 3255537060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 549, 610, 163, 612, 428?
Answer: LCM of 549, 610, 163, 612, 428 is 3255537060.
2. How to calculate the LCM of 549, 610, 163, 612, 428?
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, 610, 163, 612, 428.
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}.