Find the LCM of 618, 627, 570, 722 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, 627, 570, 722. So, keep reading to learn more.
Given numbers are 618,627,570,722
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 618,627,570,722 is 12270390.
Find LCM of 618,627,570,722 with Prime Factorization
2 | 618, 627, 570, 722 |
3 | 309, 627, 285, 361 |
19 | 103, 209, 95, 361 |
103, 11, 5, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 103 x 11 x 5 x 19 = 12270390
Therefore, the lowest common multiple of 618,627,570,722 is 12270390.
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 627 x 570 x 722 = 159465988440
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
627 : 1, 3, 11, 19, 33, 57, 209, 627
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
722 : 1, 2, 19, 38, 361, 722
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,627,570,722, is 1.
Now, the common factors can be found like this.
618:2x 3x 103
627:3x 11x 19
570:2x 3x 5x 19
722:2x 19x 19
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 3x 3x 19x 19 = 12996
Therefore, the value for common factors is 12996.
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 = 159465988440/(1x12996)
LCM = 159465988440/12996
LCM = 12270390
Thus, we can understand that the LCM of 618,627,570,722 is 12270390.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 618, 627, 570, 722?
Answer: LCM of 618, 627, 570, 722 is 12270390.
2. How to calculate the LCM of 618, 627, 570, 722?
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, 627, 570, 722.
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}.