Find the LCM of 618, 442, 880, 616 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 618, 442, 880, 616. So, keep reading to learn more.
Given numbers are 618,442,880,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 618,442,880,616 is 420660240.
Find LCM of 618,442,880,616 with Prime Factorization
2 | 618, 442, 880, 616 |
2 | 309, 221, 440, 308 |
2 | 309, 221, 220, 154 |
11 | 309, 221, 110, 77 |
309, 221, 10, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 309 x 221 x 10 x 7 = 420660240
Therefore, the lowest common multiple of 618,442,880,616 is 420660240.
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.
618 x 442 x 880 x 616 = 148072404480
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.
618 : 1, 2, 3, 6, 103, 206, 309, 618
442 : 1, 2, 13, 17, 26, 34, 221, 442
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,442,880,616, is 2.
Now, the common factors can be found like this.
618:2x 3x 103
442:2x 13x 17
880:2x 2x 2x 2x 5x 11
616:2x 2x 2x 7x 11
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 11 = 176
Therefore, the value for common factors is 176.
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 = 148072404480/(2x176)
LCM = 148072404480/352
LCM = 420660240
Thus, we can understand that the LCM of 618,442,880,616 is 420660240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 618, 442, 880, 616?
Answer: LCM of 618, 442, 880, 616 is 420660240.
2. How to calculate the LCM of 618, 442, 880, 616?
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 618, 442, 880, 616.
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}.