Find the LCM of 614, 620, 424, 212, 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 614, 620, 424, 212, 428. So, keep reading to learn more.
Given numbers are 614,620,424,212,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,620,424,212,428 is 2158836280.
Find LCM of 614,620,424,212,428 with Prime Factorization
2 | 614, 620, 424, 212, 428 |
2 | 307, 310, 212, 106, 214 |
53 | 307, 155, 53, 106, 107 |
307, 155, 1, 2, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 53 x 307 x 155 x 1 x 2 x 107 = 2158836280
Therefore, the lowest common multiple of 614,620,424,212,428 is 2158836280.
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.
614 x 620 x 424 x 212 x 428 = 14645545323520
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.
614 : 1, 2, 307, 614
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
424 : 1, 2, 4, 8, 53, 106, 212, 424
212 : 1, 2, 4, 53, 106, 212
428 : 1, 2, 4, 107, 214, 428
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,620,424,212,428, is 2.
Now, the common factors can be found like this.
614:2x 307
620:2x 2x 5x 31
424:2x 2x 2x 53
212:2x 2x 53
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 2x 2x 2x 53 = 3392
Therefore, the value for common factors is 3392.
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 = 14645545323520/(2x3392)
LCM = 14645545323520/6784
LCM = 2158836280
Thus, we can understand that the LCM of 614,620,424,212,428 is 2158836280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 614, 620, 424, 212, 428?
Answer: LCM of 614, 620, 424, 212, 428 is 2158836280.
2. How to calculate the LCM of 614, 620, 424, 212, 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 614, 620, 424, 212, 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}.